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Finding the Fourth Proportional to 10,296.87, 15,445.30 and 2,505.66

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Solution

The fourth proportional to 10,296.87, 15,445.30 and 2,505.66 is: 3,758.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.87 : 15,445.30 = 2,505.66 : x
  2. Step 2: Convert to fraction form
    10,296.87/15,445.30 = 2,505.66/x
  3. Step 3: Cross multiply
    10,296.87x = 15,445.30 × 2,505.66
  4. Step 4: Simplify right side
    10,296.87x = 38,700,670.40
  5. Step 5: Solve for x
    x = 38,700,670.40/10,296.87
  6. Step 6: Final answer
    x = 3,758.49

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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.