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Finding the Fourth Proportional to 7,878, 10,871.52 and 4,341.12

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Solution

The fourth proportional to 7,878, 10,871.52 and 4,341.12 is: 5,990.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878 : 10,871.52 = 4,341.12 : x
  2. Step 2: Convert to fraction form
    7,878/10,871.52 = 4,341.12/x
  3. Step 3: Cross multiply
    7,878x = 10,871.52 × 4,341.12
  4. Step 4: Simplify right side
    7,878x = 47,194,572.90
  5. Step 5: Solve for x
    x = 47,194,572.90/7,878
  6. Step 6: Final answer
    x = 5,990.68

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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.