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Finding the Fourth Proportional to 8,692.97, 12,976.52 and 7,642.04

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Solution

The fourth proportional to 8,692.97, 12,976.52 and 7,642.04 is: 11,407.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.97 : 12,976.52 = 7,642.04 : x
  2. Step 2: Convert to fraction form
    8,692.97/12,976.52 = 7,642.04/x
  3. Step 3: Cross multiply
    8,692.97x = 12,976.52 × 7,642.04
  4. Step 4: Simplify right side
    8,692.97x = 99,166,981.81
  5. Step 5: Solve for x
    x = 99,166,981.81/8,692.97
  6. Step 6: Final answer
    x = 11,407.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.