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Finding the Fourth Proportional to 7,469.30, 11,205.30 and 3,762.20

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Solution

The fourth proportional to 7,469.30, 11,205.30 and 3,762.20 is: 5,643.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.30 : 11,205.30 = 3,762.20 : x
  2. Step 2: Convert to fraction form
    7,469.30/11,205.30 = 3,762.20/x
  3. Step 3: Cross multiply
    7,469.30x = 11,205.30 × 3,762.20
  4. Step 4: Simplify right side
    7,469.30x = 42,156,579.66
  5. Step 5: Solve for x
    x = 42,156,579.66/7,469.30
  6. Step 6: Final answer
    x = 5,643.98

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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.