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Finding the Fourth Proportional to 2,711.71, 4,066.07 and 956.56

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Solution

The fourth proportional to 2,711.71, 4,066.07 and 956.56 is: 1,434.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.71 : 4,066.07 = 956.56 : x
  2. Step 2: Convert to fraction form
    2,711.71/4,066.07 = 956.56/x
  3. Step 3: Cross multiply
    2,711.71x = 4,066.07 × 956.56
  4. Step 4: Simplify right side
    2,711.71x = 3,889,423.26
  5. Step 5: Solve for x
    x = 3,889,423.26/2,711.71
  6. Step 6: Final answer
    x = 1,434.31

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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.