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Finding the Fourth Proportional to 6,484.80, 8,948.16 and 3,831.12

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Solution

The fourth proportional to 6,484.80, 8,948.16 and 3,831.12 is: 5,286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.80 : 8,948.16 = 3,831.12 : x
  2. Step 2: Convert to fraction form
    6,484.80/8,948.16 = 3,831.12/x
  3. Step 3: Cross multiply
    6,484.80x = 8,948.16 × 3,831.12
  4. Step 4: Simplify right side
    6,484.80x = 34,281,474.74
  5. Step 5: Solve for x
    x = 34,281,474.74/6,484.80
  6. Step 6: Final answer
    x = 5,286.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.