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Finding the Fourth Proportional to 6,977.80, 10,474.80 and 4,207.60

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Solution

The fourth proportional to 6,977.80, 10,474.80 and 4,207.60 is: 6,316.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.80 : 10,474.80 = 4,207.60 : x
  2. Step 2: Convert to fraction form
    6,977.80/10,474.80 = 4,207.60/x
  3. Step 3: Cross multiply
    6,977.80x = 10,474.80 × 4,207.60
  4. Step 4: Simplify right side
    6,977.80x = 44,073,768.48
  5. Step 5: Solve for x
    x = 44,073,768.48/6,977.80
  6. Step 6: Final answer
    x = 6,316.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.