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Finding the Fourth Proportional to 11,247.04, 16,870.80 and 3,860

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Solution

The fourth proportional to 11,247.04, 16,870.80 and 3,860 is: 5,790.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,247.04 : 16,870.80 = 3,860 : x
  2. Step 2: Convert to fraction form
    11,247.04/16,870.80 = 3,860/x
  3. Step 3: Cross multiply
    11,247.04x = 16,870.80 × 3,860
  4. Step 4: Simplify right side
    11,247.04x = 65,121,288
  5. Step 5: Solve for x
    x = 65,121,288/11,247.04
  6. Step 6: Final answer
    x = 5,790.08

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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.