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Finding the Fourth Proportional to 3,079.86, 4,620.11 and 999.78

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Solution

The fourth proportional to 3,079.86, 4,620.11 and 999.78 is: 1,499.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,079.86 : 4,620.11 = 999.78 : x
  2. Step 2: Convert to fraction form
    3,079.86/4,620.11 = 999.78/x
  3. Step 3: Cross multiply
    3,079.86x = 4,620.11 × 999.78
  4. Step 4: Simplify right side
    3,079.86x = 4,619,071.25
  5. Step 5: Solve for x
    x = 4,619,071.25/3,079.86
  6. Step 6: Final answer
    x = 1,499.77

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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.