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Finding the Fourth Proportional to 7,294.40, 10,942.80 and 3,136.40

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Solution

The fourth proportional to 7,294.40, 10,942.80 and 3,136.40 is: 4,705.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.40 : 10,942.80 = 3,136.40 : x
  2. Step 2: Convert to fraction form
    7,294.40/10,942.80 = 3,136.40/x
  3. Step 3: Cross multiply
    7,294.40x = 10,942.80 × 3,136.40
  4. Step 4: Simplify right side
    7,294.40x = 34,320,997.92
  5. Step 5: Solve for x
    x = 34,320,997.92/7,294.40
  6. Step 6: Final answer
    x = 4,705.12

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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.