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Finding the Fourth Proportional to 7,978.01, 11,969.46 and 4,085.15

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Solution

The fourth proportional to 7,978.01, 11,969.46 and 4,085.15 is: 6,128.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.01 : 11,969.46 = 4,085.15 : x
  2. Step 2: Convert to fraction form
    7,978.01/11,969.46 = 4,085.15/x
  3. Step 3: Cross multiply
    7,978.01x = 11,969.46 × 4,085.15
  4. Step 4: Simplify right side
    7,978.01x = 48,896,979.67
  5. Step 5: Solve for x
    x = 48,896,979.67/7,978.01
  6. Step 6: Final answer
    x = 6,128.97

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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.