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Finding the Fourth Proportional to 1,286.41, 1,926.19 and 876.35

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Solution

The fourth proportional to 1,286.41, 1,926.19 and 876.35 is: 1,312.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.41 : 1,926.19 = 876.35 : x
  2. Step 2: Convert to fraction form
    1,286.41/1,926.19 = 876.35/x
  3. Step 3: Cross multiply
    1,286.41x = 1,926.19 × 876.35
  4. Step 4: Simplify right side
    1,286.41x = 1,688,016.61
  5. Step 5: Solve for x
    x = 1,688,016.61/1,286.41
  6. Step 6: Final answer
    x = 1,312.19

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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.