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Finding the Fourth Proportional to 1,888.48, 2,826.79 and 1,192.75

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Solution

The fourth proportional to 1,888.48, 2,826.79 and 1,192.75 is: 1,785.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.48 : 2,826.79 = 1,192.75 : x
  2. Step 2: Convert to fraction form
    1,888.48/2,826.79 = 1,192.75/x
  3. Step 3: Cross multiply
    1,888.48x = 2,826.79 × 1,192.75
  4. Step 4: Simplify right side
    1,888.48x = 3,371,653.77
  5. Step 5: Solve for x
    x = 3,371,653.77/1,888.48
  6. Step 6: Final answer
    x = 1,785.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.