Home / 1,211.78-1,826.51-1,102.43

Finding the Fourth Proportional to 1,211.78, 1,826.51 and 1,102.43

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Solution

The fourth proportional to 1,211.78, 1,826.51 and 1,102.43 is: 1,661.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.78 : 1,826.51 = 1,102.43 : x
  2. Step 2: Convert to fraction form
    1,211.78/1,826.51 = 1,102.43/x
  3. Step 3: Cross multiply
    1,211.78x = 1,826.51 × 1,102.43
  4. Step 4: Simplify right side
    1,211.78x = 2,013,599.42
  5. Step 5: Solve for x
    x = 2,013,599.42/1,211.78
  6. Step 6: Final answer
    x = 1,661.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.