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Finding the Fourth Proportional to 19,959, 29,938.38 and 5,167.86

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Solution

The fourth proportional to 19,959, 29,938.38 and 5,167.86 is: 7,751.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,959 : 29,938.38 = 5,167.86 : x
  2. Step 2: Convert to fraction form
    19,959/29,938.38 = 5,167.86/x
  3. Step 3: Cross multiply
    19,959x = 29,938.38 × 5,167.86
  4. Step 4: Simplify right side
    19,959x = 154,717,356.47
  5. Step 5: Solve for x
    x = 154,717,356.47/19,959
  6. Step 6: Final answer
    x = 7,751.76

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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.