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Finding the Fourth Proportional to 1,667.19, 2,501.19 and 1,082.17

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Solution

The fourth proportional to 1,667.19, 2,501.19 and 1,082.17 is: 1,623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.19 : 2,501.19 = 1,082.17 : x
  2. Step 2: Convert to fraction form
    1,667.19/2,501.19 = 1,082.17/x
  3. Step 3: Cross multiply
    1,667.19x = 2,501.19 × 1,082.17
  4. Step 4: Simplify right side
    1,667.19x = 2,706,706.53
  5. Step 5: Solve for x
    x = 2,706,706.53/1,667.19
  6. Step 6: Final answer
    x = 1,623.51

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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.