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Finding the Fourth Proportional to 1,540.71, 2,126.30 and 877.77

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Solution

The fourth proportional to 1,540.71, 2,126.30 and 877.77 is: 1,211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.71 : 2,126.30 = 877.77 : x
  2. Step 2: Convert to fraction form
    1,540.71/2,126.30 = 877.77/x
  3. Step 3: Cross multiply
    1,540.71x = 2,126.30 × 877.77
  4. Step 4: Simplify right side
    1,540.71x = 1,866,397.96
  5. Step 5: Solve for x
    x = 1,866,397.96/1,540.71
  6. Step 6: Final answer
    x = 1,211.39

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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.