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Finding the Fourth Proportional to 3,437.73, 5,156.90 and 1,098.07

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Solution

The fourth proportional to 3,437.73, 5,156.90 and 1,098.07 is: 1,647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.73 : 5,156.90 = 1,098.07 : x
  2. Step 2: Convert to fraction form
    3,437.73/5,156.90 = 1,098.07/x
  3. Step 3: Cross multiply
    3,437.73x = 5,156.90 × 1,098.07
  4. Step 4: Simplify right side
    3,437.73x = 5,662,642.26
  5. Step 5: Solve for x
    x = 5,662,642.26/3,437.73
  6. Step 6: Final answer
    x = 1,647.20

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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.