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Finding the Fourth Proportional to 8,698.78, 13,046.10 and 4,015.90

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Solution

The fourth proportional to 8,698.78, 13,046.10 and 4,015.90 is: 6,022.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,698.78 : 13,046.10 = 4,015.90 : x
  2. Step 2: Convert to fraction form
    8,698.78/13,046.10 = 4,015.90/x
  3. Step 3: Cross multiply
    8,698.78x = 13,046.10 × 4,015.90
  4. Step 4: Simplify right side
    8,698.78x = 52,391,832.99
  5. Step 5: Solve for x
    x = 52,391,832.99/8,698.78
  6. Step 6: Final answer
    x = 6,022.89

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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.