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Finding the Fourth Proportional to 2,162.87, 3,244.20 and 602.87

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Solution

The fourth proportional to 2,162.87, 3,244.20 and 602.87 is: 904.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.87 : 3,244.20 = 602.87 : x
  2. Step 2: Convert to fraction form
    2,162.87/3,244.20 = 602.87/x
  3. Step 3: Cross multiply
    2,162.87x = 3,244.20 × 602.87
  4. Step 4: Simplify right side
    2,162.87x = 1,955,830.85
  5. Step 5: Solve for x
    x = 1,955,830.85/2,162.87
  6. Step 6: Final answer
    x = 904.28

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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.