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Finding the Fourth Proportional to 5,757.30, 8,636.76 and 2,947.14

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Solution

The fourth proportional to 5,757.30, 8,636.76 and 2,947.14 is: 4,421.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.30 : 8,636.76 = 2,947.14 : x
  2. Step 2: Convert to fraction form
    5,757.30/8,636.76 = 2,947.14/x
  3. Step 3: Cross multiply
    5,757.30x = 8,636.76 × 2,947.14
  4. Step 4: Simplify right side
    5,757.30x = 25,453,740.87
  5. Step 5: Solve for x
    x = 25,453,740.87/5,757.30
  6. Step 6: Final answer
    x = 4,421.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.