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Finding the Fourth Proportional to 6,510.69, 9,767.19 and 3,880.38

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Solution

The fourth proportional to 6,510.69, 9,767.19 and 3,880.38 is: 5,821.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.69 : 9,767.19 = 3,880.38 : x
  2. Step 2: Convert to fraction form
    6,510.69/9,767.19 = 3,880.38/x
  3. Step 3: Cross multiply
    6,510.69x = 9,767.19 × 3,880.38
  4. Step 4: Simplify right side
    6,510.69x = 37,900,408.73
  5. Step 5: Solve for x
    x = 37,900,408.73/6,510.69
  6. Step 6: Final answer
    x = 5,821.26

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1.5x scale

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.