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Finding the Fourth Proportional to 6,981.80, 10,460.40 and 3,687.64

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Solution

The fourth proportional to 6,981.80, 10,460.40 and 3,687.64 is: 5,524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.80 : 10,460.40 = 3,687.64 : x
  2. Step 2: Convert to fraction form
    6,981.80/10,460.40 = 3,687.64/x
  3. Step 3: Cross multiply
    6,981.80x = 10,460.40 × 3,687.64
  4. Step 4: Simplify right side
    6,981.80x = 38,574,137.15
  5. Step 5: Solve for x
    x = 38,574,137.15/6,981.80
  6. Step 6: Final answer
    x = 5,524.96

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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.