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Finding the Fourth Proportional to 12,871.12, 17,761.80 and 7,282

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Solution

The fourth proportional to 12,871.12, 17,761.80 and 7,282 is: 10,048.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.12 : 17,761.80 = 7,282 : x
  2. Step 2: Convert to fraction form
    12,871.12/17,761.80 = 7,282/x
  3. Step 3: Cross multiply
    12,871.12x = 17,761.80 × 7,282
  4. Step 4: Simplify right side
    12,871.12x = 129,341,427.60
  5. Step 5: Solve for x
    x = 129,341,427.60/12,871.12
  6. Step 6: Final answer
    x = 10,048.96

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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.