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Finding the Fourth Proportional to 1,641.61, 2,459.17 and 993.61

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Solution

The fourth proportional to 1,641.61, 2,459.17 and 993.61 is: 1,488.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.61 : 2,459.17 = 993.61 : x
  2. Step 2: Convert to fraction form
    1,641.61/2,459.17 = 993.61/x
  3. Step 3: Cross multiply
    1,641.61x = 2,459.17 × 993.61
  4. Step 4: Simplify right side
    1,641.61x = 2,443,455.90
  5. Step 5: Solve for x
    x = 2,443,455.90/1,641.61
  6. Step 6: Final answer
    x = 1,488.45

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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.