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Finding the Fourth Proportional to 6,990.53, 9,642.15 and 4,471.56

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Solution

The fourth proportional to 6,990.53, 9,642.15 and 4,471.56 is: 6,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.53 : 9,642.15 = 4,471.56 : x
  2. Step 2: Convert to fraction form
    6,990.53/9,642.15 = 4,471.56/x
  3. Step 3: Cross multiply
    6,990.53x = 9,642.15 × 4,471.56
  4. Step 4: Simplify right side
    6,990.53x = 43,115,452.25
  5. Step 5: Solve for x
    x = 43,115,452.25/6,990.53
  6. Step 6: Final answer
    x = 6,167.70

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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.