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Finding the Fourth Proportional to 1,540.72, 2,126.35 and 877.64

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Solution

The fourth proportional to 1,540.72, 2,126.35 and 877.64 is: 1,211.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.72 : 2,126.35 = 877.64 : x
  2. Step 2: Convert to fraction form
    1,540.72/2,126.35 = 877.64/x
  3. Step 3: Cross multiply
    1,540.72x = 2,126.35 × 877.64
  4. Step 4: Simplify right side
    1,540.72x = 1,866,160.28
  5. Step 5: Solve for x
    x = 1,866,160.28/1,540.72
  6. Step 6: Final answer
    x = 1,211.23

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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.