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Finding the Fourth Proportional to 12,512.46, 17,264.49 and 7,976.87

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Solution

The fourth proportional to 12,512.46, 17,264.49 and 7,976.87 is: 11,006.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,512.46 : 17,264.49 = 7,976.87 : x
  2. Step 2: Convert to fraction form
    12,512.46/17,264.49 = 7,976.87/x
  3. Step 3: Cross multiply
    12,512.46x = 17,264.49 × 7,976.87
  4. Step 4: Simplify right side
    12,512.46x = 137,716,506.02
  5. Step 5: Solve for x
    x = 137,716,506.02/12,512.46
  6. Step 6: Final answer
    x = 11,006.35

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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.