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Finding the Fourth Proportional to 7,978.61, 11,015.20 and 7,091.85

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Solution

The fourth proportional to 7,978.61, 11,015.20 and 7,091.85 is: 9,790.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.61 : 11,015.20 = 7,091.85 : x
  2. Step 2: Convert to fraction form
    7,978.61/11,015.20 = 7,091.85/x
  3. Step 3: Cross multiply
    7,978.61x = 11,015.20 × 7,091.85
  4. Step 4: Simplify right side
    7,978.61x = 78,118,146.12
  5. Step 5: Solve for x
    x = 78,118,146.12/7,978.61
  6. Step 6: Final answer
    x = 9,790.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.