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Finding the Fourth Proportional to 1,617.89, 2,428.05 and 1,069.88

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Solution

The fourth proportional to 1,617.89, 2,428.05 and 1,069.88 is: 1,605.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.89 : 2,428.05 = 1,069.88 : x
  2. Step 2: Convert to fraction form
    1,617.89/2,428.05 = 1,069.88/x
  3. Step 3: Cross multiply
    1,617.89x = 2,428.05 × 1,069.88
  4. Step 4: Simplify right side
    1,617.89x = 2,597,722.13
  5. Step 5: Solve for x
    x = 2,597,722.13/1,617.89
  6. Step 6: Final answer
    x = 1,605.62

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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.