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Finding the Fourth Proportional to 7,484.40, 11,229.84 and 3,102.84

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Solution

The fourth proportional to 7,484.40, 11,229.84 and 3,102.84 is: 4,655.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,484.40 : 11,229.84 = 3,102.84 : x
  2. Step 2: Convert to fraction form
    7,484.40/11,229.84 = 3,102.84/x
  3. Step 3: Cross multiply
    7,484.40x = 11,229.84 × 3,102.84
  4. Step 4: Simplify right side
    7,484.40x = 34,844,396.75
  5. Step 5: Solve for x
    x = 34,844,396.75/7,484.40
  6. Step 6: Final answer
    x = 4,655.60

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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.