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Finding the Fourth Proportional to 1,581.05, 2,367.12 and 886.48

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Solution

The fourth proportional to 1,581.05, 2,367.12 and 886.48 is: 1,327.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.05 : 2,367.12 = 886.48 : x
  2. Step 2: Convert to fraction form
    1,581.05/2,367.12 = 886.48/x
  3. Step 3: Cross multiply
    1,581.05x = 2,367.12 × 886.48
  4. Step 4: Simplify right side
    1,581.05x = 2,098,401.94
  5. Step 5: Solve for x
    x = 2,098,401.94/1,581.05
  6. Step 6: Final answer
    x = 1,327.22

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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.