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Finding the Fourth Proportional to 21,711, 32,543.76 and 10,031.88

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Solution

The fourth proportional to 21,711, 32,543.76 and 10,031.88 is: 15,037.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,711 : 32,543.76 = 10,031.88 : x
  2. Step 2: Convert to fraction form
    21,711/32,543.76 = 10,031.88/x
  3. Step 3: Cross multiply
    21,711x = 32,543.76 × 10,031.88
  4. Step 4: Simplify right side
    21,711x = 326,475,095.07
  5. Step 5: Solve for x
    x = 326,475,095.07/21,711
  6. Step 6: Final answer
    x = 15,037.31

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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.