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Finding the Fourth Proportional to 4,661.28, 6,986.32 and 2,061.28

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Solution

The fourth proportional to 4,661.28, 6,986.32 and 2,061.28 is: 3,089.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.28 : 6,986.32 = 2,061.28 : x
  2. Step 2: Convert to fraction form
    4,661.28/6,986.32 = 2,061.28/x
  3. Step 3: Cross multiply
    4,661.28x = 6,986.32 × 2,061.28
  4. Step 4: Simplify right side
    4,661.28x = 14,400,761.69
  5. Step 5: Solve for x
    x = 14,400,761.69/4,661.28
  6. Step 6: Final answer
    x = 3,089.44

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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.