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Finding the Fourth Proportional to 5,309.08, 7,923.47 and 5,170.84

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Solution

The fourth proportional to 5,309.08, 7,923.47 and 5,170.84 is: 7,717.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.08 : 7,923.47 = 5,170.84 : x
  2. Step 2: Convert to fraction form
    5,309.08/7,923.47 = 5,170.84/x
  3. Step 3: Cross multiply
    5,309.08x = 7,923.47 × 5,170.84
  4. Step 4: Simplify right side
    5,309.08x = 40,970,995.61
  5. Step 5: Solve for x
    x = 40,970,995.61/5,309.08
  6. Step 6: Final answer
    x = 7,717.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.