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Finding the Fourth Proportional to 11,005.36, 16,508 and 5,158.72

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Solution

The fourth proportional to 11,005.36, 16,508 and 5,158.72 is: 7,738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005.36 : 16,508 = 5,158.72 : x
  2. Step 2: Convert to fraction form
    11,005.36/16,508 = 5,158.72/x
  3. Step 3: Cross multiply
    11,005.36x = 16,508 × 5,158.72
  4. Step 4: Simplify right side
    11,005.36x = 85,160,149.76
  5. Step 5: Solve for x
    x = 85,160,149.76/11,005.36
  6. Step 6: Final answer
    x = 7,738.06

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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.