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Finding the Fourth Proportional to 21,162.52, 31,743.78 and 7,312.60

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Solution

The fourth proportional to 21,162.52, 31,743.78 and 7,312.60 is: 10,968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,162.52 : 31,743.78 = 7,312.60 : x
  2. Step 2: Convert to fraction form
    21,162.52/31,743.78 = 7,312.60/x
  3. Step 3: Cross multiply
    21,162.52x = 31,743.78 × 7,312.60
  4. Step 4: Simplify right side
    21,162.52x = 232,129,565.63
  5. Step 5: Solve for x
    x = 232,129,565.63/21,162.52
  6. Step 6: Final answer
    x = 10,968.90

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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.