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Finding the Fourth Proportional to 2,505.17, 3,756.98 and 861.35

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Solution

The fourth proportional to 2,505.17, 3,756.98 and 861.35 is: 1,291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.17 : 3,756.98 = 861.35 : x
  2. Step 2: Convert to fraction form
    2,505.17/3,756.98 = 861.35/x
  3. Step 3: Cross multiply
    2,505.17x = 3,756.98 × 861.35
  4. Step 4: Simplify right side
    2,505.17x = 3,236,058.09
  5. Step 5: Solve for x
    x = 3,236,058.09/2,505.17
  6. Step 6: Final answer
    x = 1,291.75

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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.