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Finding the Fourth Proportional to 2,876.21, 3,973.05 and 2,540.63

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Solution

The fourth proportional to 2,876.21, 3,973.05 and 2,540.63 is: 3,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.21 : 3,973.05 = 2,540.63 : x
  2. Step 2: Convert to fraction form
    2,876.21/3,973.05 = 2,540.63/x
  3. Step 3: Cross multiply
    2,876.21x = 3,973.05 × 2,540.63
  4. Step 4: Simplify right side
    2,876.21x = 10,094,059.95
  5. Step 5: Solve for x
    x = 10,094,059.95/2,876.21
  6. Step 6: Final answer
    x = 3,509.50

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1.5x scale

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.