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Finding the Fourth Proportional to 1,616.14, 2,425.65 and 1,103.50

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Solution

The fourth proportional to 1,616.14, 2,425.65 and 1,103.50 is: 1,656.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.14 : 2,425.65 = 1,103.50 : x
  2. Step 2: Convert to fraction form
    1,616.14/2,425.65 = 1,103.50/x
  3. Step 3: Cross multiply
    1,616.14x = 2,425.65 × 1,103.50
  4. Step 4: Simplify right side
    1,616.14x = 2,676,704.78
  5. Step 5: Solve for x
    x = 2,676,704.78/1,616.14
  6. Step 6: Final answer
    x = 1,656.23

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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.