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Finding the Fourth Proportional to 1,770.42, 2,656.07 and 1,251.45

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Solution

The fourth proportional to 1,770.42, 2,656.07 and 1,251.45 is: 1,877.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.42 : 2,656.07 = 1,251.45 : x
  2. Step 2: Convert to fraction form
    1,770.42/2,656.07 = 1,251.45/x
  3. Step 3: Cross multiply
    1,770.42x = 2,656.07 × 1,251.45
  4. Step 4: Simplify right side
    1,770.42x = 3,323,932.54
  5. Step 5: Solve for x
    x = 3,323,932.54/1,770.42
  6. Step 6: Final answer
    x = 1,877.48

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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.