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Finding the Fourth Proportional to 6,440.75, 9,661.13 and 1,576.75

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Solution

The fourth proportional to 6,440.75, 9,661.13 and 1,576.75 is: 2,365.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.75 : 9,661.13 = 1,576.75 : x
  2. Step 2: Convert to fraction form
    6,440.75/9,661.13 = 1,576.75/x
  3. Step 3: Cross multiply
    6,440.75x = 9,661.13 × 1,576.75
  4. Step 4: Simplify right side
    6,440.75x = 15,233,178.84
  5. Step 5: Solve for x
    x = 15,233,178.84/6,440.75
  6. Step 6: Final answer
    x = 2,365.13

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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.