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Finding the Fourth Proportional to 7,212.50, 10,818.74 and 2,831.20

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Solution

The fourth proportional to 7,212.50, 10,818.74 and 2,831.20 is: 4,246.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.50 : 10,818.74 = 2,831.20 : x
  2. Step 2: Convert to fraction form
    7,212.50/10,818.74 = 2,831.20/x
  3. Step 3: Cross multiply
    7,212.50x = 10,818.74 × 2,831.20
  4. Step 4: Simplify right side
    7,212.50x = 30,630,016.69
  5. Step 5: Solve for x
    x = 30,630,016.69/7,212.50
  6. Step 6: Final answer
    x = 4,246.80

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.