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Finding the Fourth Proportional to 8,239.97, 11,371.97 and 4,703.71

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Solution

The fourth proportional to 8,239.97, 11,371.97 and 4,703.71 is: 6,491.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.97 : 11,371.97 = 4,703.71 : x
  2. Step 2: Convert to fraction form
    8,239.97/11,371.97 = 4,703.71/x
  3. Step 3: Cross multiply
    8,239.97x = 11,371.97 × 4,703.71
  4. Step 4: Simplify right side
    8,239.97x = 53,490,449.01
  5. Step 5: Solve for x
    x = 53,490,449.01/8,239.97
  6. Step 6: Final answer
    x = 6,491.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.