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Finding the Fourth Proportional to 2,770.96, 3,820.42 and 1,774.46

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Solution

The fourth proportional to 2,770.96, 3,820.42 and 1,774.46 is: 2,446.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.96 : 3,820.42 = 1,774.46 : x
  2. Step 2: Convert to fraction form
    2,770.96/3,820.42 = 1,774.46/x
  3. Step 3: Cross multiply
    2,770.96x = 3,820.42 × 1,774.46
  4. Step 4: Simplify right side
    2,770.96x = 6,779,182.47
  5. Step 5: Solve for x
    x = 6,779,182.47/2,770.96
  6. Step 6: Final answer
    x = 2,446.51

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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.