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Finding the Fourth Proportional to 2,891.67, 4,337.80 and 811.68

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Solution

The fourth proportional to 2,891.67, 4,337.80 and 811.68 is: 1,217.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.67 : 4,337.80 = 811.68 : x
  2. Step 2: Convert to fraction form
    2,891.67/4,337.80 = 811.68/x
  3. Step 3: Cross multiply
    2,891.67x = 4,337.80 × 811.68
  4. Step 4: Simplify right side
    2,891.67x = 3,520,903.47
  5. Step 5: Solve for x
    x = 3,520,903.47/2,891.67
  6. Step 6: Final answer
    x = 1,217.60

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1.5x scale

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.