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Finding the Fourth Proportional to 8,000.16, 12,000.24 and 2,806.08

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Solution

The fourth proportional to 8,000.16, 12,000.24 and 2,806.08 is: 4,209.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.16 : 12,000.24 = 2,806.08 : x
  2. Step 2: Convert to fraction form
    8,000.16/12,000.24 = 2,806.08/x
  3. Step 3: Cross multiply
    8,000.16x = 12,000.24 × 2,806.08
  4. Step 4: Simplify right side
    8,000.16x = 33,673,633.46
  5. Step 5: Solve for x
    x = 33,673,633.46/8,000.16
  6. Step 6: Final answer
    x = 4,209.12

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1.5x scale

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.