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Finding the Fourth Proportional to 5,786.62, 8,678.13 and 2,088.38

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Solution

The fourth proportional to 5,786.62, 8,678.13 and 2,088.38 is: 3,131.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.62 : 8,678.13 = 2,088.38 : x
  2. Step 2: Convert to fraction form
    5,786.62/8,678.13 = 2,088.38/x
  3. Step 3: Cross multiply
    5,786.62x = 8,678.13 × 2,088.38
  4. Step 4: Simplify right side
    5,786.62x = 18,123,189.74
  5. Step 5: Solve for x
    x = 18,123,189.74/5,786.62
  6. Step 6: Final answer
    x = 3,131.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.