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Finding the Fourth Proportional to 1,461.08, 2,015.91 and 871.20

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Solution

The fourth proportional to 1,461.08, 2,015.91 and 871.20 is: 1,202.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.08 : 2,015.91 = 871.20 : x
  2. Step 2: Convert to fraction form
    1,461.08/2,015.91 = 871.20/x
  3. Step 3: Cross multiply
    1,461.08x = 2,015.91 × 871.20
  4. Step 4: Simplify right side
    1,461.08x = 1,756,260.79
  5. Step 5: Solve for x
    x = 1,756,260.79/1,461.08
  6. Step 6: Final answer
    x = 1,202.03

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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.