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Finding the Fourth Proportional to 3,456.68, 5,184.31 and 990.95

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Solution

The fourth proportional to 3,456.68, 5,184.31 and 990.95 is: 1,486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.68 : 5,184.31 = 990.95 : x
  2. Step 2: Convert to fraction form
    3,456.68/5,184.31 = 990.95/x
  3. Step 3: Cross multiply
    3,456.68x = 5,184.31 × 990.95
  4. Step 4: Simplify right side
    3,456.68x = 5,137,387.04
  5. Step 5: Solve for x
    x = 5,137,387.04/3,456.68
  6. Step 6: Final answer
    x = 1,486.22

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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.