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Finding the Fourth Proportional to 5,786.66, 8,678.18 and 2,088.40

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Solution

The fourth proportional to 5,786.66, 8,678.18 and 2,088.40 is: 3,131.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.66 : 8,678.18 = 2,088.40 : x
  2. Step 2: Convert to fraction form
    5,786.66/8,678.18 = 2,088.40/x
  3. Step 3: Cross multiply
    5,786.66x = 8,678.18 × 2,088.40
  4. Step 4: Simplify right side
    5,786.66x = 18,123,467.72
  5. Step 5: Solve for x
    x = 18,123,467.72/5,786.66
  6. Step 6: Final answer
    x = 3,131.94

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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.