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Finding the Fourth Proportional to 1,614.68, 2,227.95 and 951.74

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Solution

The fourth proportional to 1,614.68, 2,227.95 and 951.74 is: 1,313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.68 : 2,227.95 = 951.74 : x
  2. Step 2: Convert to fraction form
    1,614.68/2,227.95 = 951.74/x
  3. Step 3: Cross multiply
    1,614.68x = 2,227.95 × 951.74
  4. Step 4: Simplify right side
    1,614.68x = 2,120,417.99
  5. Step 5: Solve for x
    x = 2,120,417.99/1,614.68
  6. Step 6: Final answer
    x = 1,313.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.