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Finding the Fourth Proportional to 5,666.56, 7,819.89 and 3,148.90

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Solution

The fourth proportional to 5,666.56, 7,819.89 and 3,148.90 is: 4,345.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.56 : 7,819.89 = 3,148.90 : x
  2. Step 2: Convert to fraction form
    5,666.56/7,819.89 = 3,148.90/x
  3. Step 3: Cross multiply
    5,666.56x = 7,819.89 × 3,148.90
  4. Step 4: Simplify right side
    5,666.56x = 24,624,059.97
  5. Step 5: Solve for x
    x = 24,624,059.97/5,666.56
  6. Step 6: Final answer
    x = 4,345.51

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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.