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Finding the Fourth Proportional to 21,331, 31,999.14 and 7,292.44

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Solution

The fourth proportional to 21,331, 31,999.14 and 7,292.44 is: 10,939.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,331 : 31,999.14 = 7,292.44 : x
  2. Step 2: Convert to fraction form
    21,331/31,999.14 = 7,292.44/x
  3. Step 3: Cross multiply
    21,331x = 31,999.14 × 7,292.44
  4. Step 4: Simplify right side
    21,331x = 233,351,808.50
  5. Step 5: Solve for x
    x = 233,351,808.50/21,331
  6. Step 6: Final answer
    x = 10,939.56

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1.5x scale

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.