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Finding the Fourth Proportional to 10,425.31, 15,646.77 and 5,498.48

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Solution

The fourth proportional to 10,425.31, 15,646.77 and 5,498.48 is: 8,252.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.31 : 15,646.77 = 5,498.48 : x
  2. Step 2: Convert to fraction form
    10,425.31/15,646.77 = 5,498.48/x
  3. Step 3: Cross multiply
    10,425.31x = 15,646.77 × 5,498.48
  4. Step 4: Simplify right side
    10,425.31x = 86,033,491.03
  5. Step 5: Solve for x
    x = 86,033,491.03/10,425.31
  6. Step 6: Final answer
    x = 8,252.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.