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Finding the Fourth Proportional to 2,087.35, 3,131.03 and 854.76

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Solution

The fourth proportional to 2,087.35, 3,131.03 and 854.76 is: 1,282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.35 : 3,131.03 = 854.76 : x
  2. Step 2: Convert to fraction form
    2,087.35/3,131.03 = 854.76/x
  3. Step 3: Cross multiply
    2,087.35x = 3,131.03 × 854.76
  4. Step 4: Simplify right side
    2,087.35x = 2,676,279.20
  5. Step 5: Solve for x
    x = 2,676,279.20/2,087.35
  6. Step 6: Final answer
    x = 1,282.14

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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.