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Finding the Fourth Proportional to 1,544.24, 2,131.04 and 881.48

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Solution

The fourth proportional to 1,544.24, 2,131.04 and 881.48 is: 1,216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.24 : 2,131.04 = 881.48 : x
  2. Step 2: Convert to fraction form
    1,544.24/2,131.04 = 881.48/x
  3. Step 3: Cross multiply
    1,544.24x = 2,131.04 × 881.48
  4. Step 4: Simplify right side
    1,544.24x = 1,878,464.73
  5. Step 5: Solve for x
    x = 1,878,464.73/1,544.24
  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.