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Finding the Fourth Proportional to 1,732.40, 2,595.40 and 1,617.20

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Solution

The fourth proportional to 1,732.40, 2,595.40 and 1,617.20 is: 2,422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.40 : 2,595.40 = 1,617.20 : x
  2. Step 2: Convert to fraction form
    1,732.40/2,595.40 = 1,617.20/x
  3. Step 3: Cross multiply
    1,732.40x = 2,595.40 × 1,617.20
  4. Step 4: Simplify right side
    1,732.40x = 4,197,280.88
  5. Step 5: Solve for x
    x = 4,197,280.88/1,732.40
  6. Step 6: Final answer
    x = 2,422.81

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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.