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Finding the Fourth Proportional to 2,809.47, 3,876.21 and 1,630.47

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Solution

The fourth proportional to 2,809.47, 3,876.21 and 1,630.47 is: 2,249.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.47 : 3,876.21 = 1,630.47 : x
  2. Step 2: Convert to fraction form
    2,809.47/3,876.21 = 1,630.47/x
  3. Step 3: Cross multiply
    2,809.47x = 3,876.21 × 1,630.47
  4. Step 4: Simplify right side
    2,809.47x = 6,320,044.12
  5. Step 5: Solve for x
    x = 6,320,044.12/2,809.47
  6. Step 6: Final answer
    x = 2,249.55

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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.