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Finding the Fourth Proportional to 21,543, 32,314.52 and 6,753.08

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Solution

The fourth proportional to 21,543, 32,314.52 and 6,753.08 is: 10,129.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,543 : 32,314.52 = 6,753.08 : x
  2. Step 2: Convert to fraction form
    21,543/32,314.52 = 6,753.08/x
  3. Step 3: Cross multiply
    21,543x = 32,314.52 × 6,753.08
  4. Step 4: Simplify right side
    21,543x = 218,222,538.72
  5. Step 5: Solve for x
    x = 218,222,538.72/21,543
  6. Step 6: Final answer
    x = 10,129.63

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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.