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Finding the Fourth Proportional to 21,102.49, 31,658.41 and 7,954.97

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Solution

The fourth proportional to 21,102.49, 31,658.41 and 7,954.97 is: 11,934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,102.49 : 31,658.41 = 7,954.97 : x
  2. Step 2: Convert to fraction form
    21,102.49/31,658.41 = 7,954.97/x
  3. Step 3: Cross multiply
    21,102.49x = 31,658.41 × 7,954.97
  4. Step 4: Simplify right side
    21,102.49x = 251,841,681.91
  5. Step 5: Solve for x
    x = 251,841,681.91/21,102.49
  6. Step 6: Final answer
    x = 11,934.22

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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.