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Finding the Fourth Proportional to 2,876.59, 3,970.26 and 1,869.54

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Solution

The fourth proportional to 2,876.59, 3,970.26 and 1,869.54 is: 2,580.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.59 : 3,970.26 = 1,869.54 : x
  2. Step 2: Convert to fraction form
    2,876.59/3,970.26 = 1,869.54/x
  3. Step 3: Cross multiply
    2,876.59x = 3,970.26 × 1,869.54
  4. Step 4: Simplify right side
    2,876.59x = 7,422,571.59
  5. Step 5: Solve for x
    x = 7,422,571.59/2,876.59
  6. Step 6: Final answer
    x = 2,580.34

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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.