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Finding the Fourth Proportional to 3,999.72, 5,999.65 and 1,078.10

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Solution

The fourth proportional to 3,999.72, 5,999.65 and 1,078.10 is: 1,617.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.72 : 5,999.65 = 1,078.10 : x
  2. Step 2: Convert to fraction form
    3,999.72/5,999.65 = 1,078.10/x
  3. Step 3: Cross multiply
    3,999.72x = 5,999.65 × 1,078.10
  4. Step 4: Simplify right side
    3,999.72x = 6,468,222.67
  5. Step 5: Solve for x
    x = 6,468,222.67/3,999.72
  6. Step 6: Final answer
    x = 1,617.17

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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.