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Finding the Fourth Proportional to 21,237.76, 31,865.28 and 7,387.84

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Solution

The fourth proportional to 21,237.76, 31,865.28 and 7,387.84 is: 11,084.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,237.76 : 31,865.28 = 7,387.84 : x
  2. Step 2: Convert to fraction form
    21,237.76/31,865.28 = 7,387.84/x
  3. Step 3: Cross multiply
    21,237.76x = 31,865.28 × 7,387.84
  4. Step 4: Simplify right side
    21,237.76x = 235,415,590.20
  5. Step 5: Solve for x
    x = 235,415,590.20/21,237.76
  6. Step 6: Final answer
    x = 11,084.77

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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.