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Finding the Fourth Proportional to 2,099.78, 3,145.35 and 1,232

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Solution

The fourth proportional to 2,099.78, 3,145.35 and 1,232 is: 1,845.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.78 : 3,145.35 = 1,232 : x
  2. Step 2: Convert to fraction form
    2,099.78/3,145.35 = 1,232/x
  3. Step 3: Cross multiply
    2,099.78x = 3,145.35 × 1,232
  4. Step 4: Simplify right side
    2,099.78x = 3,875,071.20
  5. Step 5: Solve for x
    x = 3,875,071.20/2,099.78
  6. Step 6: Final answer
    x = 1,845.47

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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.