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Finding the Fourth Proportional to 5,223.88, 7,836.92 and 1,937

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Solution

The fourth proportional to 5,223.88, 7,836.92 and 1,937 is: 2,905.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.88 : 7,836.92 = 1,937 : x
  2. Step 2: Convert to fraction form
    5,223.88/7,836.92 = 1,937/x
  3. Step 3: Cross multiply
    5,223.88x = 7,836.92 × 1,937
  4. Step 4: Simplify right side
    5,223.88x = 15,180,114.04
  5. Step 5: Solve for x
    x = 15,180,114.04/5,223.88
  6. Step 6: Final answer
    x = 2,905.91

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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.