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Finding the Fourth Proportional to 8,498.28, 11,727.60 and 4,721.28

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Solution

The fourth proportional to 8,498.28, 11,727.60 and 4,721.28 is: 6,515.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.28 : 11,727.60 = 4,721.28 : x
  2. Step 2: Convert to fraction form
    8,498.28/11,727.60 = 4,721.28/x
  3. Step 3: Cross multiply
    8,498.28x = 11,727.60 × 4,721.28
  4. Step 4: Simplify right side
    8,498.28x = 55,369,283.33
  5. Step 5: Solve for x
    x = 55,369,283.33/8,498.28
  6. Step 6: Final answer
    x = 6,515.35

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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.