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Finding the Fourth Proportional to 7,118.91, 9,824.26 and 4,134.95

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Solution

The fourth proportional to 7,118.91, 9,824.26 and 4,134.95 is: 5,706.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.91 : 9,824.26 = 4,134.95 : x
  2. Step 2: Convert to fraction form
    7,118.91/9,824.26 = 4,134.95/x
  3. Step 3: Cross multiply
    7,118.91x = 9,824.26 × 4,134.95
  4. Step 4: Simplify right side
    7,118.91x = 40,622,820.65
  5. Step 5: Solve for x
    x = 40,622,820.65/7,118.91
  6. Step 6: Final answer
    x = 5,706.32

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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.