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Finding the Fourth Proportional to 6,994.78, 9,631.98 and 6,839.56

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Solution

The fourth proportional to 6,994.78, 9,631.98 and 6,839.56 is: 9,418.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.78 : 9,631.98 = 6,839.56 : x
  2. Step 2: Convert to fraction form
    6,994.78/9,631.98 = 6,839.56/x
  3. Step 3: Cross multiply
    6,994.78x = 9,631.98 × 6,839.56
  4. Step 4: Simplify right side
    6,994.78x = 65,878,505.13
  5. Step 5: Solve for x
    x = 65,878,505.13/6,994.78
  6. Step 6: Final answer
    x = 9,418.24

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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.