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Finding the Fourth Proportional to 2,175.26, 3,261.06 and 877.64

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Solution

The fourth proportional to 2,175.26, 3,261.06 and 877.64 is: 1,315.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.26 : 3,261.06 = 877.64 : x
  2. Step 2: Convert to fraction form
    2,175.26/3,261.06 = 877.64/x
  3. Step 3: Cross multiply
    2,175.26x = 3,261.06 × 877.64
  4. Step 4: Simplify right side
    2,175.26x = 2,862,020.39
  5. Step 5: Solve for x
    x = 2,862,020.39/2,175.26
  6. Step 6: Final answer
    x = 1,315.72

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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.