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Finding the Fourth Proportional to 19,833.38, 29,710.38 and 11,931.53

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Solution

The fourth proportional to 19,833.38, 29,710.38 and 11,931.53 is: 17,873.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,833.38 : 29,710.38 = 11,931.53 : x
  2. Step 2: Convert to fraction form
    19,833.38/29,710.38 = 11,931.53/x
  3. Step 3: Cross multiply
    19,833.38x = 29,710.38 × 11,931.53
  4. Step 4: Simplify right side
    19,833.38x = 354,490,141.73
  5. Step 5: Solve for x
    x = 354,490,141.73/19,833.38
  6. Step 6: Final answer
    x = 17,873.41

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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.