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Finding the Fourth Proportional to 7,098, 9,795.12 and 3,954.12

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Solution

The fourth proportional to 7,098, 9,795.12 and 3,954.12 is: 5,456.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098 : 9,795.12 = 3,954.12 : x
  2. Step 2: Convert to fraction form
    7,098/9,795.12 = 3,954.12/x
  3. Step 3: Cross multiply
    7,098x = 9,795.12 × 3,954.12
  4. Step 4: Simplify right side
    7,098x = 38,731,079.89
  5. Step 5: Solve for x
    x = 38,731,079.89/7,098
  6. Step 6: Final answer
    x = 5,456.62

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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.