Home / 1,097.46-1,511.22-938.94

Finding the Fourth Proportional to 1,097.46, 1,511.22 and 938.94

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Solution

The fourth proportional to 1,097.46, 1,511.22 and 938.94 is: 1,292.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.46 : 1,511.22 = 938.94 : x
  2. Step 2: Convert to fraction form
    1,097.46/1,511.22 = 938.94/x
  3. Step 3: Cross multiply
    1,097.46x = 1,511.22 × 938.94
  4. Step 4: Simplify right side
    1,097.46x = 1,418,944.91
  5. Step 5: Solve for x
    x = 1,418,944.91/1,097.46
  6. Step 6: Final answer
    x = 1,292.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.