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Finding the Fourth Proportional to 5,490, 8,236.04 and 2,203.36

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Solution

The fourth proportional to 5,490, 8,236.04 and 2,203.36 is: 3,305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490 : 8,236.04 = 2,203.36 : x
  2. Step 2: Convert to fraction form
    5,490/8,236.04 = 2,203.36/x
  3. Step 3: Cross multiply
    5,490x = 8,236.04 × 2,203.36
  4. Step 4: Simplify right side
    5,490x = 18,146,929.49
  5. Step 5: Solve for x
    x = 18,146,929.49/5,490
  6. Step 6: Final answer
    x = 3,305.45

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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.