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Finding the Fourth Proportional to 3,569.87, 5,353.38 and 1,488.47

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Solution

The fourth proportional to 3,569.87, 5,353.38 and 1,488.47 is: 2,232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.87 : 5,353.38 = 1,488.47 : x
  2. Step 2: Convert to fraction form
    3,569.87/5,353.38 = 1,488.47/x
  3. Step 3: Cross multiply
    3,569.87x = 5,353.38 × 1,488.47
  4. Step 4: Simplify right side
    3,569.87x = 7,968,318.76
  5. Step 5: Solve for x
    x = 7,968,318.76/3,569.87
  6. Step 6: Final answer
    x = 2,232.10

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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.