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Finding the Fourth Proportional to 1,591.68, 2,196 and 928.20

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Solution

The fourth proportional to 1,591.68, 2,196 and 928.20 is: 1,280.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.68 : 2,196 = 928.20 : x
  2. Step 2: Convert to fraction form
    1,591.68/2,196 = 928.20/x
  3. Step 3: Cross multiply
    1,591.68x = 2,196 × 928.20
  4. Step 4: Simplify right side
    1,591.68x = 2,038,327.20
  5. Step 5: Solve for x
    x = 2,038,327.20/1,591.68
  6. Step 6: Final answer
    x = 1,280.61

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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.