Home / 1,383.24-2,072.88-1,209

Finding the Fourth Proportional to 1,383.24, 2,072.88 and 1,209

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Solution

The fourth proportional to 1,383.24, 2,072.88 and 1,209 is: 1,811.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.24 : 2,072.88 = 1,209 : x
  2. Step 2: Convert to fraction form
    1,383.24/2,072.88 = 1,209/x
  3. Step 3: Cross multiply
    1,383.24x = 2,072.88 × 1,209
  4. Step 4: Simplify right side
    1,383.24x = 2,506,111.92
  5. Step 5: Solve for x
    x = 2,506,111.92/1,383.24
  6. Step 6: Final answer
    x = 1,811.77

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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.