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Finding the Fourth Proportional to 31,966.12, 47,965.38 and 21,556

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Solution

The fourth proportional to 31,966.12, 47,965.38 and 21,556 is: 32,344.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,966.12 : 47,965.38 = 21,556 : x
  2. Step 2: Convert to fraction form
    31,966.12/47,965.38 = 21,556/x
  3. Step 3: Cross multiply
    31,966.12x = 47,965.38 × 21,556
  4. Step 4: Simplify right side
    31,966.12x = 1,033,941,731.28
  5. Step 5: Solve for x
    x = 1,033,941,731.28/31,966.12
  6. Step 6: Final answer
    x = 32,344.92

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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.