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Finding the Fourth Proportional to 2,891.54, 4,337.12 and 811.50

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Solution

The fourth proportional to 2,891.54, 4,337.12 and 811.50 is: 1,217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.54 : 4,337.12 = 811.50 : x
  2. Step 2: Convert to fraction form
    2,891.54/4,337.12 = 811.50/x
  3. Step 3: Cross multiply
    2,891.54x = 4,337.12 × 811.50
  4. Step 4: Simplify right side
    2,891.54x = 3,519,572.88
  5. Step 5: Solve for x
    x = 3,519,572.88/2,891.54
  6. Step 6: Final answer
    x = 1,217.20

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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.