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Finding the Fourth Proportional to 5,670, 8,508.65 and 2,207.25

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Solution

The fourth proportional to 5,670, 8,508.65 and 2,207.25 is: 3,312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670 : 8,508.65 = 2,207.25 : x
  2. Step 2: Convert to fraction form
    5,670/8,508.65 = 2,207.25/x
  3. Step 3: Cross multiply
    5,670x = 8,508.65 × 2,207.25
  4. Step 4: Simplify right side
    5,670x = 18,780,706.68
  5. Step 5: Solve for x
    x = 18,780,706.68/5,670
  6. Step 6: Final answer
    x = 3,312.29

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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.