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Finding the Fourth Proportional to 7,878.24, 10,872 and 4,341.42

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Solution

The fourth proportional to 7,878.24, 10,872 and 4,341.42 is: 5,991.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.24 : 10,872 = 4,341.42 : x
  2. Step 2: Convert to fraction form
    7,878.24/10,872 = 4,341.42/x
  3. Step 3: Cross multiply
    7,878.24x = 10,872 × 4,341.42
  4. Step 4: Simplify right side
    7,878.24x = 47,199,918.24
  5. Step 5: Solve for x
    x = 47,199,918.24/7,878.24
  6. Step 6: Final answer
    x = 5,991.18

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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.