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Finding the Fourth Proportional to 2,891.40, 4,337.09 and 811.40

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Solution

The fourth proportional to 2,891.40, 4,337.09 and 811.40 is: 1,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.40 : 4,337.09 = 811.40 : x
  2. Step 2: Convert to fraction form
    2,891.40/4,337.09 = 811.40/x
  3. Step 3: Cross multiply
    2,891.40x = 4,337.09 × 811.40
  4. Step 4: Simplify right side
    2,891.40x = 3,519,114.83
  5. Step 5: Solve for x
    x = 3,519,114.83/2,891.40
  6. Step 6: Final answer
    x = 1,217.10

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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.