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Finding the Fourth Proportional to 7,086.70, 9,793.13 and 5,315.23

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Solution

The fourth proportional to 7,086.70, 9,793.13 and 5,315.23 is: 7,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.70 : 9,793.13 = 5,315.23 : x
  2. Step 2: Convert to fraction form
    7,086.70/9,793.13 = 5,315.23/x
  3. Step 3: Cross multiply
    7,086.70x = 9,793.13 × 5,315.23
  4. Step 4: Simplify right side
    7,086.70x = 52,052,738.37
  5. Step 5: Solve for x
    x = 52,052,738.37/7,086.70
  6. Step 6: Final answer
    x = 7,345.13

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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.