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Finding the Fourth Proportional to 8,756.80, 12,078 and 6,200.48

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Solution

The fourth proportional to 8,756.80, 12,078 and 6,200.48 is: 8,552.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,756.80 : 12,078 = 6,200.48 : x
  2. Step 2: Convert to fraction form
    8,756.80/12,078 = 6,200.48/x
  3. Step 3: Cross multiply
    8,756.80x = 12,078 × 6,200.48
  4. Step 4: Simplify right side
    8,756.80x = 74,889,397.44
  5. Step 5: Solve for x
    x = 74,889,397.44/8,756.80
  6. Step 6: Final answer
    x = 8,552.14

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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.