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Finding the Fourth Proportional to 8,603, 12,882.62 and 7,881.29

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Solution

The fourth proportional to 8,603, 12,882.62 and 7,881.29 is: 11,801.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,603 : 12,882.62 = 7,881.29 : x
  2. Step 2: Convert to fraction form
    8,603/12,882.62 = 7,881.29/x
  3. Step 3: Cross multiply
    8,603x = 12,882.62 × 7,881.29
  4. Step 4: Simplify right side
    8,603x = 101,531,664.18
  5. Step 5: Solve for x
    x = 101,531,664.18/8,603
  6. Step 6: Final answer
    x = 11,801.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.