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Finding the Fourth Proportional to 1,928.56, 2,892.85 and 467.72

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Solution

The fourth proportional to 1,928.56, 2,892.85 and 467.72 is: 701.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.56 : 2,892.85 = 467.72 : x
  2. Step 2: Convert to fraction form
    1,928.56/2,892.85 = 467.72/x
  3. Step 3: Cross multiply
    1,928.56x = 2,892.85 × 467.72
  4. Step 4: Simplify right side
    1,928.56x = 1,353,027.07
  5. Step 5: Solve for x
    x = 1,353,027.07/1,928.56
  6. Step 6: Final answer
    x = 701.57

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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.