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Finding the Fourth Proportional to 8,443.88, 11,645.90 and 7,878

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Solution

The fourth proportional to 8,443.88, 11,645.90 and 7,878 is: 10,865.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.88 : 11,645.90 = 7,878 : x
  2. Step 2: Convert to fraction form
    8,443.88/11,645.90 = 7,878/x
  3. Step 3: Cross multiply
    8,443.88x = 11,645.90 × 7,878
  4. Step 4: Simplify right side
    8,443.88x = 91,746,400.20
  5. Step 5: Solve for x
    x = 91,746,400.20/8,443.88
  6. Step 6: Final answer
    x = 10,865.43

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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.