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Finding the Fourth Proportional to 5,640.67, 7,776 and 3,956.85

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Solution

The fourth proportional to 5,640.67, 7,776 and 3,956.85 is: 5,454.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.67 : 7,776 = 3,956.85 : x
  2. Step 2: Convert to fraction form
    5,640.67/7,776 = 3,956.85/x
  3. Step 3: Cross multiply
    5,640.67x = 7,776 × 3,956.85
  4. Step 4: Simplify right side
    5,640.67x = 30,768,465.60
  5. Step 5: Solve for x
    x = 30,768,465.60/5,640.67
  6. Step 6: Final answer
    x = 5,454.75

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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.