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Finding the Fourth Proportional to 1,298.38, 1,943.61 and 886.06

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Solution

The fourth proportional to 1,298.38, 1,943.61 and 886.06 is: 1,326.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.38 : 1,943.61 = 886.06 : x
  2. Step 2: Convert to fraction form
    1,298.38/1,943.61 = 886.06/x
  3. Step 3: Cross multiply
    1,298.38x = 1,943.61 × 886.06
  4. Step 4: Simplify right side
    1,298.38x = 1,722,155.08
  5. Step 5: Solve for x
    x = 1,722,155.08/1,298.38
  6. Step 6: Final answer
    x = 1,326.39

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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.