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Finding the Fourth Proportional to 1,284.54, 1,912.14 and 1,224.90

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Solution

The fourth proportional to 1,284.54, 1,912.14 and 1,224.90 is: 1,823.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.54 : 1,912.14 = 1,224.90 : x
  2. Step 2: Convert to fraction form
    1,284.54/1,912.14 = 1,224.90/x
  3. Step 3: Cross multiply
    1,284.54x = 1,912.14 × 1,224.90
  4. Step 4: Simplify right side
    1,284.54x = 2,342,180.29
  5. Step 5: Solve for x
    x = 2,342,180.29/1,284.54
  6. Step 6: Final answer
    x = 1,823.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.