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Finding the Fourth Proportional to 10,321.63, 15,500.63 and 7,689.85

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Solution

The fourth proportional to 10,321.63, 15,500.63 and 7,689.85 is: 11,548.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.63 : 15,500.63 = 7,689.85 : x
  2. Step 2: Convert to fraction form
    10,321.63/15,500.63 = 7,689.85/x
  3. Step 3: Cross multiply
    10,321.63x = 15,500.63 × 7,689.85
  4. Step 4: Simplify right side
    10,321.63x = 119,197,481.16
  5. Step 5: Solve for x
    x = 119,197,481.16/10,321.63
  6. Step 6: Final answer
    x = 11,548.32

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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.