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Finding the Fourth Proportional to 8,118.72, 11,206 and 4,584

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Solution

The fourth proportional to 8,118.72, 11,206 and 4,584 is: 6,327.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,118.72 : 11,206 = 4,584 : x
  2. Step 2: Convert to fraction form
    8,118.72/11,206 = 4,584/x
  3. Step 3: Cross multiply
    8,118.72x = 11,206 × 4,584
  4. Step 4: Simplify right side
    8,118.72x = 51,368,304
  5. Step 5: Solve for x
    x = 51,368,304/8,118.72
  6. Step 6: Final answer
    x = 6,327.14

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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.