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Finding the Fourth Proportional to 21,274.84, 31,864.74 and 15,418

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Solution

The fourth proportional to 21,274.84, 31,864.74 and 15,418 is: 23,092.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,274.84 : 31,864.74 = 15,418 : x
  2. Step 2: Convert to fraction form
    21,274.84/31,864.74 = 15,418/x
  3. Step 3: Cross multiply
    21,274.84x = 31,864.74 × 15,418
  4. Step 4: Simplify right side
    21,274.84x = 491,290,561.32
  5. Step 5: Solve for x
    x = 491,290,561.32/21,274.84
  6. Step 6: Final answer
    x = 23,092.56

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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.