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Finding the Fourth Proportional to 8,320.80, 12,482.64 and 3,128.16

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Solution

The fourth proportional to 8,320.80, 12,482.64 and 3,128.16 is: 4,692.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,320.80 : 12,482.64 = 3,128.16 : x
  2. Step 2: Convert to fraction form
    8,320.80/12,482.64 = 3,128.16/x
  3. Step 3: Cross multiply
    8,320.80x = 12,482.64 × 3,128.16
  4. Step 4: Simplify right side
    8,320.80x = 39,047,695.14
  5. Step 5: Solve for x
    x = 39,047,695.14/8,320.80
  6. Step 6: Final answer
    x = 4,692.78

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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.