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Finding the Fourth Proportional to 19,879.20, 29,819.82 and 5,088.25

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Solution

The fourth proportional to 19,879.20, 29,819.82 and 5,088.25 is: 7,632.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,879.20 : 29,819.82 = 5,088.25 : x
  2. Step 2: Convert to fraction form
    19,879.20/29,819.82 = 5,088.25/x
  3. Step 3: Cross multiply
    19,879.20x = 29,819.82 × 5,088.25
  4. Step 4: Simplify right side
    19,879.20x = 151,730,699.12
  5. Step 5: Solve for x
    x = 151,730,699.12/19,879.20
  6. Step 6: Final answer
    x = 7,632.64

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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.