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Finding the Fourth Proportional to 6,650.96, 9,977.16 and 3,140.72

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Solution

The fourth proportional to 6,650.96, 9,977.16 and 3,140.72 is: 4,711.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.96 : 9,977.16 = 3,140.72 : x
  2. Step 2: Convert to fraction form
    6,650.96/9,977.16 = 3,140.72/x
  3. Step 3: Cross multiply
    6,650.96x = 9,977.16 × 3,140.72
  4. Step 4: Simplify right side
    6,650.96x = 31,335,465.96
  5. Step 5: Solve for x
    x = 31,335,465.96/6,650.96
  6. Step 6: Final answer
    x = 4,711.42

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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.