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Finding the Fourth Proportional to 2,709.68, 3,741.78 and 1,928.84

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Solution

The fourth proportional to 2,709.68, 3,741.78 and 1,928.84 is: 2,663.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.68 : 3,741.78 = 1,928.84 : x
  2. Step 2: Convert to fraction form
    2,709.68/3,741.78 = 1,928.84/x
  3. Step 3: Cross multiply
    2,709.68x = 3,741.78 × 1,928.84
  4. Step 4: Simplify right side
    2,709.68x = 7,217,276.23
  5. Step 5: Solve for x
    x = 7,217,276.23/2,709.68
  6. Step 6: Final answer
    x = 2,663.52

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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.