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Finding the Fourth Proportional to 1,988.47, 2,983.43 and 961.75

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Solution

The fourth proportional to 1,988.47, 2,983.43 and 961.75 is: 1,442.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.47 : 2,983.43 = 961.75 : x
  2. Step 2: Convert to fraction form
    1,988.47/2,983.43 = 961.75/x
  3. Step 3: Cross multiply
    1,988.47x = 2,983.43 × 961.75
  4. Step 4: Simplify right side
    1,988.47x = 2,869,313.80
  5. Step 5: Solve for x
    x = 2,869,313.80/1,988.47
  6. Step 6: Final answer
    x = 1,442.98

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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.