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Finding the Fourth Proportional to 1,576.36, 2,175.42 and 877.78

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Solution

The fourth proportional to 1,576.36, 2,175.42 and 877.78 is: 1,211.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.36 : 2,175.42 = 877.78 : x
  2. Step 2: Convert to fraction form
    1,576.36/2,175.42 = 877.78/x
  3. Step 3: Cross multiply
    1,576.36x = 2,175.42 × 877.78
  4. Step 4: Simplify right side
    1,576.36x = 1,909,540.17
  5. Step 5: Solve for x
    x = 1,909,540.17/1,576.36
  6. Step 6: Final answer
    x = 1,211.36

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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.