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Finding the Fourth Proportional to 21,237.72, 31,856.76 and 7,377

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Solution

The fourth proportional to 21,237.72, 31,856.76 and 7,377 is: 11,065.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,237.72 : 31,856.76 = 7,377 : x
  2. Step 2: Convert to fraction form
    21,237.72/31,856.76 = 7,377/x
  3. Step 3: Cross multiply
    21,237.72x = 31,856.76 × 7,377
  4. Step 4: Simplify right side
    21,237.72x = 235,007,318.52
  5. Step 5: Solve for x
    x = 235,007,318.52/21,237.72
  6. Step 6: Final answer
    x = 11,065.56

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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.