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Finding the Fourth Proportional to 2,770.70, 4,156.47 and 922.28

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Solution

The fourth proportional to 2,770.70, 4,156.47 and 922.28 is: 1,383.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.70 : 4,156.47 = 922.28 : x
  2. Step 2: Convert to fraction form
    2,770.70/4,156.47 = 922.28/x
  3. Step 3: Cross multiply
    2,770.70x = 4,156.47 × 922.28
  4. Step 4: Simplify right side
    2,770.70x = 3,833,408.37
  5. Step 5: Solve for x
    x = 3,833,408.37/2,770.70
  6. Step 6: Final answer
    x = 1,383.55

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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.