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Finding the Fourth Proportional to 11,502.86, 15,875.27 and 6,398.88

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Solution

The fourth proportional to 11,502.86, 15,875.27 and 6,398.88 is: 8,831.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.86 : 15,875.27 = 6,398.88 : x
  2. Step 2: Convert to fraction form
    11,502.86/15,875.27 = 6,398.88/x
  3. Step 3: Cross multiply
    11,502.86x = 15,875.27 × 6,398.88
  4. Step 4: Simplify right side
    11,502.86x = 101,583,915.70
  5. Step 5: Solve for x
    x = 101,583,915.70/11,502.86
  6. Step 6: Final answer
    x = 8,831.19

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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.