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Finding the Fourth Proportional to 10,374.10, 15,512.55 and 7,749.70

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Solution

The fourth proportional to 10,374.10, 15,512.55 and 7,749.70 is: 11,588.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.10 : 15,512.55 = 7,749.70 : x
  2. Step 2: Convert to fraction form
    10,374.10/15,512.55 = 7,749.70/x
  3. Step 3: Cross multiply
    10,374.10x = 15,512.55 × 7,749.70
  4. Step 4: Simplify right side
    10,374.10x = 120,217,608.74
  5. Step 5: Solve for x
    x = 120,217,608.74/10,374.10
  6. Step 6: Final answer
    x = 11,588.24

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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.