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Finding the Fourth Proportional to 3,488.55, 5,232.81 and 891.48

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Solution

The fourth proportional to 3,488.55, 5,232.81 and 891.48 is: 1,337.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.55 : 5,232.81 = 891.48 : x
  2. Step 2: Convert to fraction form
    3,488.55/5,232.81 = 891.48/x
  3. Step 3: Cross multiply
    3,488.55x = 5,232.81 × 891.48
  4. Step 4: Simplify right side
    3,488.55x = 4,664,945.46
  5. Step 5: Solve for x
    x = 4,664,945.46/3,488.55
  6. Step 6: Final answer
    x = 1,337.22

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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.