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Finding the Fourth Proportional to 7,755.78, 10,704.70 and 4,731.57

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Solution

The fourth proportional to 7,755.78, 10,704.70 and 4,731.57 is: 6,530.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.78 : 10,704.70 = 4,731.57 : x
  2. Step 2: Convert to fraction form
    7,755.78/10,704.70 = 4,731.57/x
  3. Step 3: Cross multiply
    7,755.78x = 10,704.70 × 4,731.57
  4. Step 4: Simplify right side
    7,755.78x = 50,650,037.38
  5. Step 5: Solve for x
    x = 50,650,037.38/7,755.78
  6. Step 6: Final answer
    x = 6,530.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.