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Finding the Fourth Proportional to 39,909, 59,830.74 and 16,552.20

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Solution

The fourth proportional to 39,909, 59,830.74 and 16,552.20 is: 24,814.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,909 : 59,830.74 = 16,552.20 : x
  2. Step 2: Convert to fraction form
    39,909/59,830.74 = 16,552.20/x
  3. Step 3: Cross multiply
    39,909x = 59,830.74 × 16,552.20
  4. Step 4: Simplify right side
    39,909x = 990,330,374.63
  5. Step 5: Solve for x
    x = 990,330,374.63/39,909
  6. Step 6: Final answer
    x = 24,814.71

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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.