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Finding the Fourth Proportional to 1,212.41, 1,826.09 and 1,154.09

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Solution

The fourth proportional to 1,212.41, 1,826.09 and 1,154.09 is: 1,738.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.41 : 1,826.09 = 1,154.09 : x
  2. Step 2: Convert to fraction form
    1,212.41/1,826.09 = 1,154.09/x
  3. Step 3: Cross multiply
    1,212.41x = 1,826.09 × 1,154.09
  4. Step 4: Simplify right side
    1,212.41x = 2,107,457.31
  5. Step 5: Solve for x
    x = 2,107,457.31/1,212.41
  6. Step 6: Final answer
    x = 1,738.25

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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.