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Finding the Fourth Proportional to 6,974.02, 9,620.13 and 4,177.90

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Solution

The fourth proportional to 6,974.02, 9,620.13 and 4,177.90 is: 5,763.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.02 : 9,620.13 = 4,177.90 : x
  2. Step 2: Convert to fraction form
    6,974.02/9,620.13 = 4,177.90/x
  3. Step 3: Cross multiply
    6,974.02x = 9,620.13 × 4,177.90
  4. Step 4: Simplify right side
    6,974.02x = 40,191,941.13
  5. Step 5: Solve for x
    x = 40,191,941.13/6,974.02
  6. Step 6: Final answer
    x = 5,763.10

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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.