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Finding the Fourth Proportional to 21,242.72, 31,864.26 and 7,382

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Solution

The fourth proportional to 21,242.72, 31,864.26 and 7,382 is: 11,073.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,242.72 : 31,864.26 = 7,382 : x
  2. Step 2: Convert to fraction form
    21,242.72/31,864.26 = 7,382/x
  3. Step 3: Cross multiply
    21,242.72x = 31,864.26 × 7,382
  4. Step 4: Simplify right side
    21,242.72x = 235,221,967.32
  5. Step 5: Solve for x
    x = 235,221,967.32/21,242.72
  6. Step 6: Final answer
    x = 11,073.06

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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.