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Finding the Fourth Proportional to 2,880.72, 4,321.14 and 932.92

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Solution

The fourth proportional to 2,880.72, 4,321.14 and 932.92 is: 1,399.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.72 : 4,321.14 = 932.92 : x
  2. Step 2: Convert to fraction form
    2,880.72/4,321.14 = 932.92/x
  3. Step 3: Cross multiply
    2,880.72x = 4,321.14 × 932.92
  4. Step 4: Simplify right side
    2,880.72x = 4,031,277.93
  5. Step 5: Solve for x
    x = 4,031,277.93/2,880.72
  6. Step 6: Final answer
    x = 1,399.40

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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.