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Finding the Fourth Proportional to 6,510.81, 9,766.64 and 2,615.22

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Solution

The fourth proportional to 6,510.81, 9,766.64 and 2,615.22 is: 3,923.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.81 : 9,766.64 = 2,615.22 : x
  2. Step 2: Convert to fraction form
    6,510.81/9,766.64 = 2,615.22/x
  3. Step 3: Cross multiply
    6,510.81x = 9,766.64 × 2,615.22
  4. Step 4: Simplify right side
    6,510.81x = 25,541,918.80
  5. Step 5: Solve for x
    x = 25,541,918.80/6,510.81
  6. Step 6: Final answer
    x = 3,923.00

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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.