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Finding the Fourth Proportional to 1,226.66, 1,837.67 and 951.41

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Solution

The fourth proportional to 1,226.66, 1,837.67 and 951.41 is: 1,425.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.66 : 1,837.67 = 951.41 : x
  2. Step 2: Convert to fraction form
    1,226.66/1,837.67 = 951.41/x
  3. Step 3: Cross multiply
    1,226.66x = 1,837.67 × 951.41
  4. Step 4: Simplify right side
    1,226.66x = 1,748,377.61
  5. Step 5: Solve for x
    x = 1,748,377.61/1,226.66
  6. Step 6: Final answer
    x = 1,425.32

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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.