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Finding the Fourth Proportional to 2,352.42, 3,528.80 and 792.41

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Solution

The fourth proportional to 2,352.42, 3,528.80 and 792.41 is: 1,188.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.42 : 3,528.80 = 792.41 : x
  2. Step 2: Convert to fraction form
    2,352.42/3,528.80 = 792.41/x
  3. Step 3: Cross multiply
    2,352.42x = 3,528.80 × 792.41
  4. Step 4: Simplify right side
    2,352.42x = 2,796,252.45
  5. Step 5: Solve for x
    x = 2,796,252.45/2,352.42
  6. Step 6: Final answer
    x = 1,188.67

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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.