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Finding the Fourth Proportional to 2,753.62, 4,131.09 and 904.63

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Solution

The fourth proportional to 2,753.62, 4,131.09 and 904.63 is: 1,357.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.62 : 4,131.09 = 904.63 : x
  2. Step 2: Convert to fraction form
    2,753.62/4,131.09 = 904.63/x
  3. Step 3: Cross multiply
    2,753.62x = 4,131.09 × 904.63
  4. Step 4: Simplify right side
    2,753.62x = 3,737,109.90
  5. Step 5: Solve for x
    x = 3,737,109.90/2,753.62
  6. Step 6: Final answer
    x = 1,357.16

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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.