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Finding the Fourth Proportional to 5,670, 8,506.44 and 2,161.44

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Solution

The fourth proportional to 5,670, 8,506.44 and 2,161.44 is: 3,242.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670 : 8,506.44 = 2,161.44 : x
  2. Step 2: Convert to fraction form
    5,670/8,506.44 = 2,161.44/x
  3. Step 3: Cross multiply
    5,670x = 8,506.44 × 2,161.44
  4. Step 4: Simplify right side
    5,670x = 18,386,159.67
  5. Step 5: Solve for x
    x = 18,386,159.67/5,670
  6. Step 6: Final answer
    x = 3,242.71

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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.