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Finding the Fourth Proportional to 7,389.18, 10,198.34 and 7,057.02

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Solution

The fourth proportional to 7,389.18, 10,198.34 and 7,057.02 is: 9,739.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,389.18 : 10,198.34 = 7,057.02 : x
  2. Step 2: Convert to fraction form
    7,389.18/10,198.34 = 7,057.02/x
  3. Step 3: Cross multiply
    7,389.18x = 10,198.34 × 7,057.02
  4. Step 4: Simplify right side
    7,389.18x = 71,969,854.06
  5. Step 5: Solve for x
    x = 71,969,854.06/7,389.18
  6. Step 6: Final answer
    x = 9,739.90

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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.