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Finding the Fourth Proportional to 1,549.24, 2,138.02 and 886.14

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Solution

The fourth proportional to 1,549.24, 2,138.02 and 886.14 is: 1,222.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.24 : 2,138.02 = 886.14 : x
  2. Step 2: Convert to fraction form
    1,549.24/2,138.02 = 886.14/x
  3. Step 3: Cross multiply
    1,549.24x = 2,138.02 × 886.14
  4. Step 4: Simplify right side
    1,549.24x = 1,894,585.04
  5. Step 5: Solve for x
    x = 1,894,585.04/1,549.24
  6. Step 6: Final answer
    x = 1,222.91

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1.5x scale

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.