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Finding the Fourth Proportional to 2,902.52, 4,353.36 and 928.37

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Solution

The fourth proportional to 2,902.52, 4,353.36 and 928.37 is: 1,392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.52 : 4,353.36 = 928.37 : x
  2. Step 2: Convert to fraction form
    2,902.52/4,353.36 = 928.37/x
  3. Step 3: Cross multiply
    2,902.52x = 4,353.36 × 928.37
  4. Step 4: Simplify right side
    2,902.52x = 4,041,528.82
  5. Step 5: Solve for x
    x = 4,041,528.82/2,902.52
  6. Step 6: Final answer
    x = 1,392.42

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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.