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Finding the Fourth Proportional to 21,288, 31,932.54 and 7,437

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Solution

The fourth proportional to 21,288, 31,932.54 and 7,437 is: 11,155.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,288 : 31,932.54 = 7,437 : x
  2. Step 2: Convert to fraction form
    21,288/31,932.54 = 7,437/x
  3. Step 3: Cross multiply
    21,288x = 31,932.54 × 7,437
  4. Step 4: Simplify right side
    21,288x = 237,482,299.98
  5. Step 5: Solve for x
    x = 237,482,299.98/21,288
  6. Step 6: Final answer
    x = 11,155.69

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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.