Home / 1,147.32-1,578.94-1,098.12

Finding the Fourth Proportional to 1,147.32, 1,578.94 and 1,098.12

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Solution

The fourth proportional to 1,147.32, 1,578.94 and 1,098.12 is: 1,511.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.32 : 1,578.94 = 1,098.12 : x
  2. Step 2: Convert to fraction form
    1,147.32/1,578.94 = 1,098.12/x
  3. Step 3: Cross multiply
    1,147.32x = 1,578.94 × 1,098.12
  4. Step 4: Simplify right side
    1,147.32x = 1,733,865.59
  5. Step 5: Solve for x
    x = 1,733,865.59/1,147.32
  6. Step 6: Final answer
    x = 1,511.23

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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.