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Finding the Fourth Proportional to 1,627.51, 2,245.97 and 881.47

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Solution

The fourth proportional to 1,627.51, 2,245.97 and 881.47 is: 1,216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.51 : 2,245.97 = 881.47 : x
  2. Step 2: Convert to fraction form
    1,627.51/2,245.97 = 881.47/x
  3. Step 3: Cross multiply
    1,627.51x = 2,245.97 × 881.47
  4. Step 4: Simplify right side
    1,627.51x = 1,979,755.18
  5. Step 5: Solve for x
    x = 1,979,755.18/1,627.51
  6. Step 6: Final answer
    x = 1,216.43

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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.