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Finding the Fourth Proportional to 7,102.67, 10,654 and 1,908.55

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Solution

The fourth proportional to 7,102.67, 10,654 and 1,908.55 is: 2,862.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.67 : 10,654 = 1,908.55 : x
  2. Step 2: Convert to fraction form
    7,102.67/10,654 = 1,908.55/x
  3. Step 3: Cross multiply
    7,102.67x = 10,654 × 1,908.55
  4. Step 4: Simplify right side
    7,102.67x = 20,333,665.07
  5. Step 5: Solve for x
    x = 20,333,665.07/7,102.67
  6. Step 6: Final answer
    x = 2,862.82

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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.