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Finding the Fourth Proportional to 2,876.64, 3,970.40 and 1,828.50

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Solution

The fourth proportional to 2,876.64, 3,970.40 and 1,828.50 is: 2,523.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.64 : 3,970.40 = 1,828.50 : x
  2. Step 2: Convert to fraction form
    2,876.64/3,970.40 = 1,828.50/x
  3. Step 3: Cross multiply
    2,876.64x = 3,970.40 × 1,828.50
  4. Step 4: Simplify right side
    2,876.64x = 7,259,867.26
  5. Step 5: Solve for x
    x = 7,259,867.26/2,876.64
  6. Step 6: Final answer
    x = 2,523.73

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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.