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Finding the Fourth Proportional to 11,168.32, 15,412 and 6,200

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Solution

The fourth proportional to 11,168.32, 15,412 and 6,200 is: 8,555.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,168.32 : 15,412 = 6,200 : x
  2. Step 2: Convert to fraction form
    11,168.32/15,412 = 6,200/x
  3. Step 3: Cross multiply
    11,168.32x = 15,412 × 6,200
  4. Step 4: Simplify right side
    11,168.32x = 95,554,400
  5. Step 5: Solve for x
    x = 95,554,400/11,168.32
  6. Step 6: Final answer
    x = 8,555.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.