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Finding the Fourth Proportional to 6,506.78, 8,980.17 and 3,855.20

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Solution

The fourth proportional to 6,506.78, 8,980.17 and 3,855.20 is: 5,320.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.78 : 8,980.17 = 3,855.20 : x
  2. Step 2: Convert to fraction form
    6,506.78/8,980.17 = 3,855.20/x
  3. Step 3: Cross multiply
    6,506.78x = 8,980.17 × 3,855.20
  4. Step 4: Simplify right side
    6,506.78x = 34,620,351.38
  5. Step 5: Solve for x
    x = 34,620,351.38/6,506.78
  6. Step 6: Final answer
    x = 5,320.66

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1.5x scale

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.