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Finding the Fourth Proportional to 3,398.96, 5,098.65 and 1,318.28

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Solution

The fourth proportional to 3,398.96, 5,098.65 and 1,318.28 is: 1,977.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.96 : 5,098.65 = 1,318.28 : x
  2. Step 2: Convert to fraction form
    3,398.96/5,098.65 = 1,318.28/x
  3. Step 3: Cross multiply
    3,398.96x = 5,098.65 × 1,318.28
  4. Step 4: Simplify right side
    3,398.96x = 6,721,417.89
  5. Step 5: Solve for x
    x = 6,721,417.89/3,398.96
  6. Step 6: Final answer
    x = 1,977.49

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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.