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Finding the Fourth Proportional to 7,803.12, 11,698.11 and 3,640.95

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Solution

The fourth proportional to 7,803.12, 11,698.11 and 3,640.95 is: 5,458.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.12 : 11,698.11 = 3,640.95 : x
  2. Step 2: Convert to fraction form
    7,803.12/11,698.11 = 3,640.95/x
  3. Step 3: Cross multiply
    7,803.12x = 11,698.11 × 3,640.95
  4. Step 4: Simplify right side
    7,803.12x = 42,592,233.60
  5. Step 5: Solve for x
    x = 42,592,233.60/7,803.12
  6. Step 6: Final answer
    x = 5,458.36

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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.