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Finding the Fourth Proportional to 12,565.60, 17,344 and 7,847.20

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Solution

The fourth proportional to 12,565.60, 17,344 and 7,847.20 is: 10,831.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.60 : 17,344 = 7,847.20 : x
  2. Step 2: Convert to fraction form
    12,565.60/17,344 = 7,847.20/x
  3. Step 3: Cross multiply
    12,565.60x = 17,344 × 7,847.20
  4. Step 4: Simplify right side
    12,565.60x = 136,101,836.80
  5. Step 5: Solve for x
    x = 136,101,836.80/12,565.60
  6. Step 6: Final answer
    x = 10,831.30

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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.