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Finding the Fourth Proportional to 7,079.87, 9,768.80 and 4,094.61

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Solution

The fourth proportional to 7,079.87, 9,768.80 and 4,094.61 is: 5,649.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,079.87 : 9,768.80 = 4,094.61 : x
  2. Step 2: Convert to fraction form
    7,079.87/9,768.80 = 4,094.61/x
  3. Step 3: Cross multiply
    7,079.87x = 9,768.80 × 4,094.61
  4. Step 4: Simplify right side
    7,079.87x = 39,999,405.69
  5. Step 5: Solve for x
    x = 39,999,405.69/7,079.87
  6. Step 6: Final answer
    x = 5,649.74

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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.