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Finding the Fourth Proportional to 8,399.95, 12,600.03 and 3,655

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Solution

The fourth proportional to 8,399.95, 12,600.03 and 3,655 is: 5,482.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,399.95 : 12,600.03 = 3,655 : x
  2. Step 2: Convert to fraction form
    8,399.95/12,600.03 = 3,655/x
  3. Step 3: Cross multiply
    8,399.95x = 12,600.03 × 3,655
  4. Step 4: Simplify right side
    8,399.95x = 46,053,109.65
  5. Step 5: Solve for x
    x = 46,053,109.65/8,399.95
  6. Step 6: Final answer
    x = 5,482.55

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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.