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Finding the Fourth Proportional to 6,902.67, 10,350.90 and 1,971.14

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Solution

The fourth proportional to 6,902.67, 10,350.90 and 1,971.14 is: 2,955.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.67 : 10,350.90 = 1,971.14 : x
  2. Step 2: Convert to fraction form
    6,902.67/10,350.90 = 1,971.14/x
  3. Step 3: Cross multiply
    6,902.67x = 10,350.90 × 1,971.14
  4. Step 4: Simplify right side
    6,902.67x = 20,403,073.03
  5. Step 5: Solve for x
    x = 20,403,073.03/6,902.67
  6. Step 6: Final answer
    x = 2,955.82

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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.