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Finding the Fourth Proportional to 2,710.85, 3,742.76 and 1,755.56

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Solution

The fourth proportional to 2,710.85, 3,742.76 and 1,755.56 is: 2,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.85 : 3,742.76 = 1,755.56 : x
  2. Step 2: Convert to fraction form
    2,710.85/3,742.76 = 1,755.56/x
  3. Step 3: Cross multiply
    2,710.85x = 3,742.76 × 1,755.56
  4. Step 4: Simplify right side
    2,710.85x = 6,570,639.46
  5. Step 5: Solve for x
    x = 6,570,639.46/2,710.85
  6. Step 6: Final answer
    x = 2,423.83

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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.