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Finding the Fourth Proportional to 1,879.43, 2,594.78 and 1,207.50

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Solution

The fourth proportional to 1,879.43, 2,594.78 and 1,207.50 is: 1,667.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.43 : 2,594.78 = 1,207.50 : x
  2. Step 2: Convert to fraction form
    1,879.43/2,594.78 = 1,207.50/x
  3. Step 3: Cross multiply
    1,879.43x = 2,594.78 × 1,207.50
  4. Step 4: Simplify right side
    1,879.43x = 3,133,199.87
  5. Step 5: Solve for x
    x = 3,133,199.87/1,879.43
  6. Step 6: Final answer
    x = 1,667.11

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Why These Related Problems?

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