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Finding the Fourth Proportional to 8,698.88, 13,024 and 6,640.64

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Solution

The fourth proportional to 8,698.88, 13,024 and 6,640.64 is: 9,942.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,698.88 : 13,024 = 6,640.64 : x
  2. Step 2: Convert to fraction form
    8,698.88/13,024 = 6,640.64/x
  3. Step 3: Cross multiply
    8,698.88x = 13,024 × 6,640.64
  4. Step 4: Simplify right side
    8,698.88x = 86,487,695.36
  5. Step 5: Solve for x
    x = 86,487,695.36/8,698.88
  6. Step 6: Final answer
    x = 9,942.39

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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.