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Finding the Fourth Proportional to 21,712.68, 32,570.28 and 6,129

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Solution

The fourth proportional to 21,712.68, 32,570.28 and 6,129 is: 9,193.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,712.68 : 32,570.28 = 6,129 : x
  2. Step 2: Convert to fraction form
    21,712.68/32,570.28 = 6,129/x
  3. Step 3: Cross multiply
    21,712.68x = 32,570.28 × 6,129
  4. Step 4: Simplify right side
    21,712.68x = 199,623,246.12
  5. Step 5: Solve for x
    x = 199,623,246.12/21,712.68
  6. Step 6: Final answer
    x = 9,193.86

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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.