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Finding the Fourth Proportional to 9,976, 13,771.36 and 6,252.16

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Solution

The fourth proportional to 9,976, 13,771.36 and 6,252.16 is: 8,630.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976 : 13,771.36 = 6,252.16 : x
  2. Step 2: Convert to fraction form
    9,976/13,771.36 = 6,252.16/x
  3. Step 3: Cross multiply
    9,976x = 13,771.36 × 6,252.16
  4. Step 4: Simplify right side
    9,976x = 86,100,746.14
  5. Step 5: Solve for x
    x = 86,100,746.14/9,976
  6. Step 6: Final answer
    x = 8,630.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.