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Finding the Fourth Proportional to 6,510.81, 9,767.10 and 2,126.82

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Solution

The fourth proportional to 6,510.81, 9,767.10 and 2,126.82 is: 3,190.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.81 : 9,767.10 = 2,126.82 : x
  2. Step 2: Convert to fraction form
    6,510.81/9,767.10 = 2,126.82/x
  3. Step 3: Cross multiply
    6,510.81x = 9,767.10 × 2,126.82
  4. Step 4: Simplify right side
    6,510.81x = 20,772,863.62
  5. Step 5: Solve for x
    x = 20,772,863.62/6,510.81
  6. Step 6: Final answer
    x = 3,190.52

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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.