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Finding the Fourth Proportional to 3,490, 5,235.12 and 1,181.68

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Solution

The fourth proportional to 3,490, 5,235.12 and 1,181.68 is: 1,772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490 : 5,235.12 = 1,181.68 : x
  2. Step 2: Convert to fraction form
    3,490/5,235.12 = 1,181.68/x
  3. Step 3: Cross multiply
    3,490x = 5,235.12 × 1,181.68
  4. Step 4: Simplify right side
    3,490x = 6,186,236.60
  5. Step 5: Solve for x
    x = 6,186,236.60/3,490
  6. Step 6: Final answer
    x = 1,772.56

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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.