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Finding the Fourth Proportional to 7,385, 11,069.88 and 4,099.64

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Solution

The fourth proportional to 7,385, 11,069.88 and 4,099.64 is: 6,145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,385 : 11,069.88 = 4,099.64 : x
  2. Step 2: Convert to fraction form
    7,385/11,069.88 = 4,099.64/x
  3. Step 3: Cross multiply
    7,385x = 11,069.88 × 4,099.64
  4. Step 4: Simplify right side
    7,385x = 45,382,522.84
  5. Step 5: Solve for x
    x = 45,382,522.84/7,385
  6. Step 6: Final answer
    x = 6,145.23

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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.