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Finding the Fourth Proportional to 7,891.24, 10,891.09 and 5,061.80

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Solution

The fourth proportional to 7,891.24, 10,891.09 and 5,061.80 is: 6,986.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.24 : 10,891.09 = 5,061.80 : x
  2. Step 2: Convert to fraction form
    7,891.24/10,891.09 = 5,061.80/x
  3. Step 3: Cross multiply
    7,891.24x = 10,891.09 × 5,061.80
  4. Step 4: Simplify right side
    7,891.24x = 55,128,533.94
  5. Step 5: Solve for x
    x = 55,128,533.94/7,891.24
  6. Step 6: Final answer
    x = 6,986.04

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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.