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Finding the Fourth Proportional to 14,785.81, 20,404.49 and 8,071.61

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Solution

The fourth proportional to 14,785.81, 20,404.49 and 8,071.61 is: 11,138.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,785.81 : 20,404.49 = 8,071.61 : x
  2. Step 2: Convert to fraction form
    14,785.81/20,404.49 = 8,071.61/x
  3. Step 3: Cross multiply
    14,785.81x = 20,404.49 × 8,071.61
  4. Step 4: Simplify right side
    14,785.81x = 164,696,943.15
  5. Step 5: Solve for x
    x = 164,696,943.15/14,785.81
  6. Step 6: Final answer
    x = 11,138.85

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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.