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Finding the Fourth Proportional to 1,928.15, 2,891.72 and 541.43

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Solution

The fourth proportional to 1,928.15, 2,891.72 and 541.43 is: 812.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.15 : 2,891.72 = 541.43 : x
  2. Step 2: Convert to fraction form
    1,928.15/2,891.72 = 541.43/x
  3. Step 3: Cross multiply
    1,928.15x = 2,891.72 × 541.43
  4. Step 4: Simplify right side
    1,928.15x = 1,565,646.79
  5. Step 5: Solve for x
    x = 1,565,646.79/1,928.15
  6. Step 6: Final answer
    x = 812.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.