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Finding the Fourth Proportional to 7,424, 11,136 and 2,229.76

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Solution

The fourth proportional to 7,424, 11,136 and 2,229.76 is: 3,344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,424 : 11,136 = 2,229.76 : x
  2. Step 2: Convert to fraction form
    7,424/11,136 = 2,229.76/x
  3. Step 3: Cross multiply
    7,424x = 11,136 × 2,229.76
  4. Step 4: Simplify right side
    7,424x = 24,830,607.36
  5. Step 5: Solve for x
    x = 24,830,607.36/7,424
  6. Step 6: Final answer
    x = 3,344.64

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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.