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Finding the Fourth Proportional to 2,876.47, 3,971.49 and 2,203.08

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Solution

The fourth proportional to 2,876.47, 3,971.49 and 2,203.08 is: 3,041.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.47 : 3,971.49 = 2,203.08 : x
  2. Step 2: Convert to fraction form
    2,876.47/3,971.49 = 2,203.08/x
  3. Step 3: Cross multiply
    2,876.47x = 3,971.49 × 2,203.08
  4. Step 4: Simplify right side
    2,876.47x = 8,749,510.19
  5. Step 5: Solve for x
    x = 8,749,510.19/2,876.47
  6. Step 6: Final answer
    x = 3,041.75

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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.