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Finding the Fourth Proportional to 8,692.16, 13,030.45 and 3,144.20

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Solution

The fourth proportional to 8,692.16, 13,030.45 and 3,144.20 is: 4,713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.16 : 13,030.45 = 3,144.20 : x
  2. Step 2: Convert to fraction form
    8,692.16/13,030.45 = 3,144.20/x
  3. Step 3: Cross multiply
    8,692.16x = 13,030.45 × 3,144.20
  4. Step 4: Simplify right side
    8,692.16x = 40,970,365.61
  5. Step 5: Solve for x
    x = 40,970,365.61/8,692.16
  6. Step 6: Final answer
    x = 4,713.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.