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Finding the Fourth Proportional to 12,871.45, 17,764.91 and 7,566.54

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Solution

The fourth proportional to 12,871.45, 17,764.91 and 7,566.54 is: 10,443.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.45 : 17,764.91 = 7,566.54 : x
  2. Step 2: Convert to fraction form
    12,871.45/17,764.91 = 7,566.54/x
  3. Step 3: Cross multiply
    12,871.45x = 17,764.91 × 7,566.54
  4. Step 4: Simplify right side
    12,871.45x = 134,418,902.11
  5. Step 5: Solve for x
    x = 134,418,902.11/12,871.45
  6. Step 6: Final answer
    x = 10,443.18

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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.