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Finding the Fourth Proportional to 10,467, 15,702.81 and 3,449.18

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Solution

The fourth proportional to 10,467, 15,702.81 and 3,449.18 is: 5,174.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467 : 15,702.81 = 3,449.18 : x
  2. Step 2: Convert to fraction form
    10,467/15,702.81 = 3,449.18/x
  3. Step 3: Cross multiply
    10,467x = 15,702.81 × 3,449.18
  4. Step 4: Simplify right side
    10,467x = 54,161,739.68
  5. Step 5: Solve for x
    x = 54,161,739.68/10,467
  6. Step 6: Final answer
    x = 5,174.52

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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.