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Finding the Fourth Proportional to 7,859.33, 11,727.73 and 7,160.70

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Solution

The fourth proportional to 7,859.33, 11,727.73 and 7,160.70 is: 10,685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.33 : 11,727.73 = 7,160.70 : x
  2. Step 2: Convert to fraction form
    7,859.33/11,727.73 = 7,160.70/x
  3. Step 3: Cross multiply
    7,859.33x = 11,727.73 × 7,160.70
  4. Step 4: Simplify right side
    7,859.33x = 83,978,720.41
  5. Step 5: Solve for x
    x = 83,978,720.41/7,859.33
  6. Step 6: Final answer
    x = 10,685.23

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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.