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Finding the Fourth Proportional to 13,887.10, 20,839.02 and 5,128.30

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Solution

The fourth proportional to 13,887.10, 20,839.02 and 5,128.30 is: 7,695.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887.10 : 20,839.02 = 5,128.30 : x
  2. Step 2: Convert to fraction form
    13,887.10/20,839.02 = 5,128.30/x
  3. Step 3: Cross multiply
    13,887.10x = 20,839.02 × 5,128.30
  4. Step 4: Simplify right side
    13,887.10x = 106,868,746.27
  5. Step 5: Solve for x
    x = 106,868,746.27/13,887.10
  6. Step 6: Final answer
    x = 7,695.54

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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.