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Finding the Fourth Proportional to 5,199.72, 7,801.02 and 2,426.28

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Solution

The fourth proportional to 5,199.72, 7,801.02 and 2,426.28 is: 3,640.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.72 : 7,801.02 = 2,426.28 : x
  2. Step 2: Convert to fraction form
    5,199.72/7,801.02 = 2,426.28/x
  3. Step 3: Cross multiply
    5,199.72x = 7,801.02 × 2,426.28
  4. Step 4: Simplify right side
    5,199.72x = 18,927,458.81
  5. Step 5: Solve for x
    x = 18,927,458.81/5,199.72
  6. Step 6: Final answer
    x = 3,640.09

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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.