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Finding the Fourth Proportional to 2,354.52, 3,531.72 and 1,122.80

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Solution

The fourth proportional to 2,354.52, 3,531.72 and 1,122.80 is: 1,684.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.52 : 3,531.72 = 1,122.80 : x
  2. Step 2: Convert to fraction form
    2,354.52/3,531.72 = 1,122.80/x
  3. Step 3: Cross multiply
    2,354.52x = 3,531.72 × 1,122.80
  4. Step 4: Simplify right side
    2,354.52x = 3,965,415.22
  5. Step 5: Solve for x
    x = 3,965,415.22/2,354.52
  6. Step 6: Final answer
    x = 1,684.17

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1.5x scale

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.