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Finding the Fourth Proportional to 2,710.78, 3,740.80 and 1,591.70

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Solution

The fourth proportional to 2,710.78, 3,740.80 and 1,591.70 is: 2,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.78 : 3,740.80 = 1,591.70 : x
  2. Step 2: Convert to fraction form
    2,710.78/3,740.80 = 1,591.70/x
  3. Step 3: Cross multiply
    2,710.78x = 3,740.80 × 1,591.70
  4. Step 4: Simplify right side
    2,710.78x = 5,954,231.36
  5. Step 5: Solve for x
    x = 5,954,231.36/2,710.78
  6. Step 6: Final answer
    x = 2,196.50

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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.