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Finding the Fourth Proportional to 2,154.52, 3,233.64 and 1,230.52

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Solution

The fourth proportional to 2,154.52, 3,233.64 and 1,230.52 is: 1,846.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.52 : 3,233.64 = 1,230.52 : x
  2. Step 2: Convert to fraction form
    2,154.52/3,233.64 = 1,230.52/x
  3. Step 3: Cross multiply
    2,154.52x = 3,233.64 × 1,230.52
  4. Step 4: Simplify right side
    2,154.52x = 3,979,058.69
  5. Step 5: Solve for x
    x = 3,979,058.69/2,154.52
  6. Step 6: Final answer
    x = 1,846.84

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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.