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Finding the Fourth Proportional to 7,751.61, 11,627.48 and 2,486.63

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Solution

The fourth proportional to 7,751.61, 11,627.48 and 2,486.63 is: 3,729.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.61 : 11,627.48 = 2,486.63 : x
  2. Step 2: Convert to fraction form
    7,751.61/11,627.48 = 2,486.63/x
  3. Step 3: Cross multiply
    7,751.61x = 11,627.48 × 2,486.63
  4. Step 4: Simplify right side
    7,751.61x = 28,913,176.64
  5. Step 5: Solve for x
    x = 28,913,176.64/7,751.61
  6. Step 6: Final answer
    x = 3,729.96

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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.