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Finding the Fourth Proportional to 15,763.20, 23,654 and 8,749.10

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Solution

The fourth proportional to 15,763.20, 23,654 and 8,749.10 is: 13,128.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,763.20 : 23,654 = 8,749.10 : x
  2. Step 2: Convert to fraction form
    15,763.20/23,654 = 8,749.10/x
  3. Step 3: Cross multiply
    15,763.20x = 23,654 × 8,749.10
  4. Step 4: Simplify right side
    15,763.20x = 206,951,211.40
  5. Step 5: Solve for x
    x = 206,951,211.40/15,763.20
  6. Step 6: Final answer
    x = 13,128.76

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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.