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Finding the Fourth Proportional to 1,460.68, 2,016.16 and 871.62

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Solution

The fourth proportional to 1,460.68, 2,016.16 and 871.62 is: 1,203.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.68 : 2,016.16 = 871.62 : x
  2. Step 2: Convert to fraction form
    1,460.68/2,016.16 = 871.62/x
  3. Step 3: Cross multiply
    1,460.68x = 2,016.16 × 871.62
  4. Step 4: Simplify right side
    1,460.68x = 1,757,325.38
  5. Step 5: Solve for x
    x = 1,757,325.38/1,460.68
  6. Step 6: Final answer
    x = 1,203.09

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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.