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Finding the Fourth Proportional to 15,768, 23,652.68 and 5,379.75

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Solution

The fourth proportional to 15,768, 23,652.68 and 5,379.75 is: 8,069.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,768 : 23,652.68 = 5,379.75 : x
  2. Step 2: Convert to fraction form
    15,768/23,652.68 = 5,379.75/x
  3. Step 3: Cross multiply
    15,768x = 23,652.68 × 5,379.75
  4. Step 4: Simplify right side
    15,768x = 127,245,478.33
  5. Step 5: Solve for x
    x = 127,245,478.33/15,768
  6. Step 6: Final answer
    x = 8,069.86

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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.