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Finding the Fourth Proportional to 3,729, 5,144.58 and 2,470.68

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Solution

The fourth proportional to 3,729, 5,144.58 and 2,470.68 is: 3,408.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729 : 5,144.58 = 2,470.68 : x
  2. Step 2: Convert to fraction form
    3,729/5,144.58 = 2,470.68/x
  3. Step 3: Cross multiply
    3,729x = 5,144.58 × 2,470.68
  4. Step 4: Simplify right side
    3,729x = 12,710,610.91
  5. Step 5: Solve for x
    x = 12,710,610.91/3,729
  6. Step 6: Final answer
    x = 3,408.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.