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Finding the Fourth Proportional to 7,831.54, 10,807.78 and 4,473.64

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Solution

The fourth proportional to 7,831.54, 10,807.78 and 4,473.64 is: 6,173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.54 : 10,807.78 = 4,473.64 : x
  2. Step 2: Convert to fraction form
    7,831.54/10,807.78 = 4,473.64/x
  3. Step 3: Cross multiply
    7,831.54x = 10,807.78 × 4,473.64
  4. Step 4: Simplify right side
    7,831.54x = 48,350,116.92
  5. Step 5: Solve for x
    x = 48,350,116.92/7,831.54
  6. Step 6: Final answer
    x = 6,173.77

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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.