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Finding the Fourth Proportional to 2,387.71, 3,581.66 and 656.33

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Solution

The fourth proportional to 2,387.71, 3,581.66 and 656.33 is: 984.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.71 : 3,581.66 = 656.33 : x
  2. Step 2: Convert to fraction form
    2,387.71/3,581.66 = 656.33/x
  3. Step 3: Cross multiply
    2,387.71x = 3,581.66 × 656.33
  4. Step 4: Simplify right side
    2,387.71x = 2,350,747.63
  5. Step 5: Solve for x
    x = 2,350,747.63/2,387.71
  6. Step 6: Final answer
    x = 984.52

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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.