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Finding the Fourth Proportional to 6,766.61, 10,140.64 and 3,806.48

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Solution

The fourth proportional to 6,766.61, 10,140.64 and 3,806.48 is: 5,704.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.61 : 10,140.64 = 3,806.48 : x
  2. Step 2: Convert to fraction form
    6,766.61/10,140.64 = 3,806.48/x
  3. Step 3: Cross multiply
    6,766.61x = 10,140.64 × 3,806.48
  4. Step 4: Simplify right side
    6,766.61x = 38,600,159.18
  5. Step 5: Solve for x
    x = 38,600,159.18/6,766.61
  6. Step 6: Final answer
    x = 5,704.51

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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.