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Finding the Fourth Proportional to 7,999.85, 11,999.78 and 4,101.77

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Solution

The fourth proportional to 7,999.85, 11,999.78 and 4,101.77 is: 6,152.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,999.85 : 11,999.78 = 4,101.77 : x
  2. Step 2: Convert to fraction form
    7,999.85/11,999.78 = 4,101.77/x
  3. Step 3: Cross multiply
    7,999.85x = 11,999.78 × 4,101.77
  4. Step 4: Simplify right side
    7,999.85x = 49,220,337.61
  5. Step 5: Solve for x
    x = 49,220,337.61/7,999.85
  6. Step 6: Final answer
    x = 6,152.66

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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.