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Finding the Fourth Proportional to 1,928.42, 2,892.84 and 832.55

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Solution

The fourth proportional to 1,928.42, 2,892.84 and 832.55 is: 1,248.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.42 : 2,892.84 = 832.55 : x
  2. Step 2: Convert to fraction form
    1,928.42/2,892.84 = 832.55/x
  3. Step 3: Cross multiply
    1,928.42x = 2,892.84 × 832.55
  4. Step 4: Simplify right side
    1,928.42x = 2,408,416.36
  5. Step 5: Solve for x
    x = 2,408,416.36/1,928.42
  6. Step 6: Final answer
    x = 1,248.91

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1.5x scale

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.