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Finding the Fourth Proportional to 1,549.62, 2,138.50 and 928.62

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Solution

The fourth proportional to 1,549.62, 2,138.50 and 928.62 is: 1,281.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.62 : 2,138.50 = 928.62 : x
  2. Step 2: Convert to fraction form
    1,549.62/2,138.50 = 928.62/x
  3. Step 3: Cross multiply
    1,549.62x = 2,138.50 × 928.62
  4. Step 4: Simplify right side
    1,549.62x = 1,985,853.87
  5. Step 5: Solve for x
    x = 1,985,853.87/1,549.62
  6. Step 6: Final answer
    x = 1,281.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.