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Finding the Fourth Proportional to 1,460.67, 2,015.63 and 871.21

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Solution

The fourth proportional to 1,460.67, 2,015.63 and 871.21 is: 1,202.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.67 : 2,015.63 = 871.21 : x
  2. Step 2: Convert to fraction form
    1,460.67/2,015.63 = 871.21/x
  3. Step 3: Cross multiply
    1,460.67x = 2,015.63 × 871.21
  4. Step 4: Simplify right side
    1,460.67x = 1,756,032.66
  5. Step 5: Solve for x
    x = 1,756,032.66/1,460.67
  6. Step 6: Final answer
    x = 1,202.21

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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.