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Finding the Fourth Proportional to 12,349.31, 18,523.89 and 4,948.47

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Solution

The fourth proportional to 12,349.31, 18,523.89 and 4,948.47 is: 7,422.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,349.31 : 18,523.89 = 4,948.47 : x
  2. Step 2: Convert to fraction form
    12,349.31/18,523.89 = 4,948.47/x
  3. Step 3: Cross multiply
    12,349.31x = 18,523.89 × 4,948.47
  4. Step 4: Simplify right side
    12,349.31x = 91,664,913.95
  5. Step 5: Solve for x
    x = 91,664,913.95/12,349.31
  6. Step 6: Final answer
    x = 7,422.68

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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.