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Finding the Fourth Proportional to 9,491.79, 14,239.67 and 2,828.28

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Solution

The fourth proportional to 9,491.79, 14,239.67 and 2,828.28 is: 4,243.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.79 : 14,239.67 = 2,828.28 : x
  2. Step 2: Convert to fraction form
    9,491.79/14,239.67 = 2,828.28/x
  3. Step 3: Cross multiply
    9,491.79x = 14,239.67 × 2,828.28
  4. Step 4: Simplify right side
    9,491.79x = 40,273,727.54
  5. Step 5: Solve for x
    x = 40,273,727.54/9,491.79
  6. Step 6: Final answer
    x = 4,243.00

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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.