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Finding the Fourth Proportional to 1,462.61, 2,017.73 and 872.93

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Solution

The fourth proportional to 1,462.61, 2,017.73 and 872.93 is: 1,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.61 : 2,017.73 = 872.93 : x
  2. Step 2: Convert to fraction form
    1,462.61/2,017.73 = 872.93/x
  3. Step 3: Cross multiply
    1,462.61x = 2,017.73 × 872.93
  4. Step 4: Simplify right side
    1,462.61x = 1,761,337.05
  5. Step 5: Solve for x
    x = 1,761,337.05/1,462.61
  6. Step 6: Final answer
    x = 1,204.24

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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.