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Finding the Fourth Proportional to 1,742.85, 2,617.11 and 1,655.15

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Solution

The fourth proportional to 1,742.85, 2,617.11 and 1,655.15 is: 2,485.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.85 : 2,617.11 = 1,655.15 : x
  2. Step 2: Convert to fraction form
    1,742.85/2,617.11 = 1,655.15/x
  3. Step 3: Cross multiply
    1,742.85x = 2,617.11 × 1,655.15
  4. Step 4: Simplify right side
    1,742.85x = 4,331,696.53
  5. Step 5: Solve for x
    x = 4,331,696.53/1,742.85
  6. Step 6: Final answer
    x = 2,485.41

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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.