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Finding the Fourth Proportional to 7,882.80, 10,878 and 4,345.84

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Solution

The fourth proportional to 7,882.80, 10,878 and 4,345.84 is: 5,997.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.80 : 10,878 = 4,345.84 : x
  2. Step 2: Convert to fraction form
    7,882.80/10,878 = 4,345.84/x
  3. Step 3: Cross multiply
    7,882.80x = 10,878 × 4,345.84
  4. Step 4: Simplify right side
    7,882.80x = 47,274,047.52
  5. Step 5: Solve for x
    x = 47,274,047.52/7,882.80
  6. Step 6: Final answer
    x = 5,997.11

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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.