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Finding the Fourth Proportional to 8,764.84, 12,097.03 and 5,179.64

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Solution

The fourth proportional to 8,764.84, 12,097.03 and 5,179.64 is: 7,148.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,764.84 : 12,097.03 = 5,179.64 : x
  2. Step 2: Convert to fraction form
    8,764.84/12,097.03 = 5,179.64/x
  3. Step 3: Cross multiply
    8,764.84x = 12,097.03 × 5,179.64
  4. Step 4: Simplify right side
    8,764.84x = 62,658,266.94
  5. Step 5: Solve for x
    x = 62,658,266.94/8,764.84
  6. Step 6: Final answer
    x = 7,148.82

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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.