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Finding the Fourth Proportional to 1,928.59, 2,660.80 and 1,573.90

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Solution

The fourth proportional to 1,928.59, 2,660.80 and 1,573.90 is: 2,171.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.59 : 2,660.80 = 1,573.90 : x
  2. Step 2: Convert to fraction form
    1,928.59/2,660.80 = 1,573.90/x
  3. Step 3: Cross multiply
    1,928.59x = 2,660.80 × 1,573.90
  4. Step 4: Simplify right side
    1,928.59x = 4,187,833.12
  5. Step 5: Solve for x
    x = 4,187,833.12/1,928.59
  6. Step 6: Final answer
    x = 2,171.45

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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.