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Finding the Fourth Proportional to 5,640.67, 7,776 and 3,956.86

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Solution

The fourth proportional to 5,640.67, 7,776 and 3,956.86 is: 5,454.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.67 : 7,776 = 3,956.86 : x
  2. Step 2: Convert to fraction form
    5,640.67/7,776 = 3,956.86/x
  3. Step 3: Cross multiply
    5,640.67x = 7,776 × 3,956.86
  4. Step 4: Simplify right side
    5,640.67x = 30,768,543.36
  5. Step 5: Solve for x
    x = 30,768,543.36/5,640.67
  6. Step 6: Final answer
    x = 5,454.77

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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.