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Finding the Fourth Proportional to 2,502.10, 3,753.15 and 770.74

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Solution

The fourth proportional to 2,502.10, 3,753.15 and 770.74 is: 1,156.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.10 : 3,753.15 = 770.74 : x
  2. Step 2: Convert to fraction form
    2,502.10/3,753.15 = 770.74/x
  3. Step 3: Cross multiply
    2,502.10x = 3,753.15 × 770.74
  4. Step 4: Simplify right side
    2,502.10x = 2,892,702.83
  5. Step 5: Solve for x
    x = 2,892,702.83/2,502.10
  6. Step 6: Final answer
    x = 1,156.11

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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.