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Finding the Fourth Proportional to 39,438, 59,165.64 and 14,814

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Solution

The fourth proportional to 39,438, 59,165.64 and 14,814 is: 22,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,438 : 59,165.64 = 14,814 : x
  2. Step 2: Convert to fraction form
    39,438/59,165.64 = 14,814/x
  3. Step 3: Cross multiply
    39,438x = 59,165.64 × 14,814
  4. Step 4: Simplify right side
    39,438x = 876,479,790.96
  5. Step 5: Solve for x
    x = 876,479,790.96/39,438
  6. Step 6: Final answer
    x = 22,224.25

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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.