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Finding the Fourth Proportional to 6,199, 9,298.50 and 3,892.12

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Solution

The fourth proportional to 6,199, 9,298.50 and 3,892.12 is: 5,838.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199 : 9,298.50 = 3,892.12 : x
  2. Step 2: Convert to fraction form
    6,199/9,298.50 = 3,892.12/x
  3. Step 3: Cross multiply
    6,199x = 9,298.50 × 3,892.12
  4. Step 4: Simplify right side
    6,199x = 36,190,877.82
  5. Step 5: Solve for x
    x = 36,190,877.82/6,199
  6. Step 6: Final answer
    x = 5,838.18

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Similar ratio
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1.5x scale

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.