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Finding the Fourth Proportional to 21,710, 32,542.30 and 10,030.88

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Solution

The fourth proportional to 21,710, 32,542.30 and 10,030.88 is: 15,035.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,710 : 32,542.30 = 10,030.88 : x
  2. Step 2: Convert to fraction form
    21,710/32,542.30 = 10,030.88/x
  3. Step 3: Cross multiply
    21,710x = 32,542.30 × 10,030.88
  4. Step 4: Simplify right side
    21,710x = 326,427,906.22
  5. Step 5: Solve for x
    x = 326,427,906.22/21,710
  6. Step 6: Final answer
    x = 15,035.83

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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.