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Finding the Fourth Proportional to 13,404.81, 20,086.71 and 7,165.71

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Solution

The fourth proportional to 13,404.81, 20,086.71 and 7,165.71 is: 10,737.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,404.81 : 20,086.71 = 7,165.71 : x
  2. Step 2: Convert to fraction form
    13,404.81/20,086.71 = 7,165.71/x
  3. Step 3: Cross multiply
    13,404.81x = 20,086.71 × 7,165.71
  4. Step 4: Simplify right side
    13,404.81x = 143,935,511.84
  5. Step 5: Solve for x
    x = 143,935,511.84/13,404.81
  6. Step 6: Final answer
    x = 10,737.60

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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.