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Finding the Fourth Proportional to 2,525.77, 3,784.44 and 881.41

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Solution

The fourth proportional to 2,525.77, 3,784.44 and 881.41 is: 1,320.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.77 : 3,784.44 = 881.41 : x
  2. Step 2: Convert to fraction form
    2,525.77/3,784.44 = 881.41/x
  3. Step 3: Cross multiply
    2,525.77x = 3,784.44 × 881.41
  4. Step 4: Simplify right side
    2,525.77x = 3,335,643.26
  5. Step 5: Solve for x
    x = 3,335,643.26/2,525.77
  6. Step 6: Final answer
    x = 1,320.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.