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Finding the Fourth Proportional to 19,902.74, 29,866.03 and 7,431.53

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Solution

The fourth proportional to 19,902.74, 29,866.03 and 7,431.53 is: 11,151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902.74 : 29,866.03 = 7,431.53 : x
  2. Step 2: Convert to fraction form
    19,902.74/29,866.03 = 7,431.53/x
  3. Step 3: Cross multiply
    19,902.74x = 29,866.03 × 7,431.53
  4. Step 4: Simplify right side
    19,902.74x = 221,950,280.74
  5. Step 5: Solve for x
    x = 221,950,280.74/19,902.74
  6. Step 6: Final answer
    x = 11,151.75

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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.