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Finding the Fourth Proportional to 3,136.60, 4,702.68 and 1,575.48

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Solution

The fourth proportional to 3,136.60, 4,702.68 and 1,575.48 is: 2,362.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.60 : 4,702.68 = 1,575.48 : x
  2. Step 2: Convert to fraction form
    3,136.60/4,702.68 = 1,575.48/x
  3. Step 3: Cross multiply
    3,136.60x = 4,702.68 × 1,575.48
  4. Step 4: Simplify right side
    3,136.60x = 7,408,978.29
  5. Step 5: Solve for x
    x = 7,408,978.29/3,136.60
  6. Step 6: Final answer
    x = 2,362.10

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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.