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Finding the Fourth Proportional to 5,665.76, 7,818.63 and 3,147.73

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Solution

The fourth proportional to 5,665.76, 7,818.63 and 3,147.73 is: 4,343.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.76 : 7,818.63 = 3,147.73 : x
  2. Step 2: Convert to fraction form
    5,665.76/7,818.63 = 3,147.73/x
  3. Step 3: Cross multiply
    5,665.76x = 7,818.63 × 3,147.73
  4. Step 4: Simplify right side
    5,665.76x = 24,610,904.86
  5. Step 5: Solve for x
    x = 24,610,904.86/5,665.76
  6. Step 6: Final answer
    x = 4,343.79

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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.