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Finding the Fourth Proportional to 5,246, 7,869 and 2,168.08

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Solution

The fourth proportional to 5,246, 7,869 and 2,168.08 is: 3,252.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246 : 7,869 = 2,168.08 : x
  2. Step 2: Convert to fraction form
    5,246/7,869 = 2,168.08/x
  3. Step 3: Cross multiply
    5,246x = 7,869 × 2,168.08
  4. Step 4: Simplify right side
    5,246x = 17,060,621.52
  5. Step 5: Solve for x
    x = 17,060,621.52/5,246
  6. Step 6: Final answer
    x = 3,252.12

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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.