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Finding the Fourth Proportional to 13,807.71, 20,711.63 and 5,909.07

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Solution

The fourth proportional to 13,807.71, 20,711.63 and 5,909.07 is: 8,863.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.71 : 20,711.63 = 5,909.07 : x
  2. Step 2: Convert to fraction form
    13,807.71/20,711.63 = 5,909.07/x
  3. Step 3: Cross multiply
    13,807.71x = 20,711.63 × 5,909.07
  4. Step 4: Simplify right side
    13,807.71x = 122,386,471.48
  5. Step 5: Solve for x
    x = 122,386,471.48/13,807.71
  6. Step 6: Final answer
    x = 8,863.63

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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.