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Finding the Fourth Proportional to 47,648.97, 71,497.80 and 21,013.56

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Solution

The fourth proportional to 47,648.97, 71,497.80 and 21,013.56 is: 31,531.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,648.97 : 71,497.80 = 21,013.56 : x
  2. Step 2: Convert to fraction form
    47,648.97/71,497.80 = 21,013.56/x
  3. Step 3: Cross multiply
    47,648.97x = 71,497.80 × 21,013.56
  4. Step 4: Simplify right side
    47,648.97x = 1,502,423,310.17
  5. Step 5: Solve for x
    x = 1,502,423,310.17/47,648.97
  6. Step 6: Final answer
    x = 31,531.08

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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.