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Finding the Fourth Proportional to 1,988.83, 2,984.31 and 1,168.70

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Solution

The fourth proportional to 1,988.83, 2,984.31 and 1,168.70 is: 1,753.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.83 : 2,984.31 = 1,168.70 : x
  2. Step 2: Convert to fraction form
    1,988.83/2,984.31 = 1,168.70/x
  3. Step 3: Cross multiply
    1,988.83x = 2,984.31 × 1,168.70
  4. Step 4: Simplify right side
    1,988.83x = 3,487,763.10
  5. Step 5: Solve for x
    x = 3,487,763.10/1,988.83
  6. Step 6: Final answer
    x = 1,753.68

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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.