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Finding the Fourth Proportional to 7,932.56, 10,952.40 and 7,090.70

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Solution

The fourth proportional to 7,932.56, 10,952.40 and 7,090.70 is: 9,790.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932.56 : 10,952.40 = 7,090.70 : x
  2. Step 2: Convert to fraction form
    7,932.56/10,952.40 = 7,090.70/x
  3. Step 3: Cross multiply
    7,932.56x = 10,952.40 × 7,090.70
  4. Step 4: Simplify right side
    7,932.56x = 77,660,182.68
  5. Step 5: Solve for x
    x = 77,660,182.68/7,932.56
  6. Step 6: Final answer
    x = 9,790.05

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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.