Home / 1,381.12-1,906.08-1,031.20

Finding the Fourth Proportional to 1,381.12, 1,906.08 and 1,031.20

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Solution

The fourth proportional to 1,381.12, 1,906.08 and 1,031.20 is: 1,423.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.12 : 1,906.08 = 1,031.20 : x
  2. Step 2: Convert to fraction form
    1,381.12/1,906.08 = 1,031.20/x
  3. Step 3: Cross multiply
    1,381.12x = 1,906.08 × 1,031.20
  4. Step 4: Simplify right side
    1,381.12x = 1,965,549.70
  5. Step 5: Solve for x
    x = 1,965,549.70/1,381.12
  6. Step 6: Final answer
    x = 1,423.16

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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.