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Finding the Fourth Proportional to 8,815, 12,164.70 and 5,089

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Solution

The fourth proportional to 8,815, 12,164.70 and 5,089 is: 7,022.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,815 : 12,164.70 = 5,089 : x
  2. Step 2: Convert to fraction form
    8,815/12,164.70 = 5,089/x
  3. Step 3: Cross multiply
    8,815x = 12,164.70 × 5,089
  4. Step 4: Simplify right side
    8,815x = 61,906,158.30
  5. Step 5: Solve for x
    x = 61,906,158.30/8,815
  6. Step 6: Final answer
    x = 7,022.82

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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.