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Finding the Fourth Proportional to 3,569.31, 5,353.96 and 1,490.29

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Solution

The fourth proportional to 3,569.31, 5,353.96 and 1,490.29 is: 2,235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.31 : 5,353.96 = 1,490.29 : x
  2. Step 2: Convert to fraction form
    3,569.31/5,353.96 = 1,490.29/x
  3. Step 3: Cross multiply
    3,569.31x = 5,353.96 × 1,490.29
  4. Step 4: Simplify right side
    3,569.31x = 7,978,949.32
  5. Step 5: Solve for x
    x = 7,978,949.32/3,569.31
  6. Step 6: Final answer
    x = 2,235.44

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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.