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Finding the Fourth Proportional to 2,880.90, 4,321.69 and 932.65

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Solution

The fourth proportional to 2,880.90, 4,321.69 and 932.65 is: 1,399.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.90 : 4,321.69 = 932.65 : x
  2. Step 2: Convert to fraction form
    2,880.90/4,321.69 = 932.65/x
  3. Step 3: Cross multiply
    2,880.90x = 4,321.69 × 932.65
  4. Step 4: Simplify right side
    2,880.90x = 4,030,611.04
  5. Step 5: Solve for x
    x = 4,030,611.04/2,880.90
  6. Step 6: Final answer
    x = 1,399.08

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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.