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Finding the Fourth Proportional to 10,604.70, 15,874.38 and 7,638.48

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Solution

The fourth proportional to 10,604.70, 15,874.38 and 7,638.48 is: 11,434.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.70 : 15,874.38 = 7,638.48 : x
  2. Step 2: Convert to fraction form
    10,604.70/15,874.38 = 7,638.48/x
  3. Step 3: Cross multiply
    10,604.70x = 15,874.38 × 7,638.48
  4. Step 4: Simplify right side
    10,604.70x = 121,256,134.14
  5. Step 5: Solve for x
    x = 121,256,134.14/10,604.70
  6. Step 6: Final answer
    x = 11,434.19

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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.