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Finding the Fourth Proportional to 21,580.52, 32,370.87 and 7,540.47

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Solution

The fourth proportional to 21,580.52, 32,370.87 and 7,540.47 is: 11,310.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,580.52 : 32,370.87 = 7,540.47 : x
  2. Step 2: Convert to fraction form
    21,580.52/32,370.87 = 7,540.47/x
  3. Step 3: Cross multiply
    21,580.52x = 32,370.87 × 7,540.47
  4. Step 4: Simplify right side
    21,580.52x = 244,091,574.11
  5. Step 5: Solve for x
    x = 244,091,574.11/21,580.52
  6. Step 6: Final answer
    x = 11,310.74

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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.