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Finding the Fourth Proportional to 2,412.59, 3,616.71 and 851.66

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Solution

The fourth proportional to 2,412.59, 3,616.71 and 851.66 is: 1,276.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.59 : 3,616.71 = 851.66 : x
  2. Step 2: Convert to fraction form
    2,412.59/3,616.71 = 851.66/x
  3. Step 3: Cross multiply
    2,412.59x = 3,616.71 × 851.66
  4. Step 4: Simplify right side
    2,412.59x = 3,080,207.24
  5. Step 5: Solve for x
    x = 3,080,207.24/2,412.59
  6. Step 6: Final answer
    x = 1,276.72

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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.