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Finding the Fourth Proportional to 2,667.29, 3,680.71 and 1,488.29

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Solution

The fourth proportional to 2,667.29, 3,680.71 and 1,488.29 is: 2,053.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.29 : 3,680.71 = 1,488.29 : x
  2. Step 2: Convert to fraction form
    2,667.29/3,680.71 = 1,488.29/x
  3. Step 3: Cross multiply
    2,667.29x = 3,680.71 × 1,488.29
  4. Step 4: Simplify right side
    2,667.29x = 5,477,969.37
  5. Step 5: Solve for x
    x = 5,477,969.37/2,667.29
  6. Step 6: Final answer
    x = 2,053.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.