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Finding the Fourth Proportional to 9,900.97, 13,664.63 and 6,374.43

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Solution

The fourth proportional to 9,900.97, 13,664.63 and 6,374.43 is: 8,797.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.97 : 13,664.63 = 6,374.43 : x
  2. Step 2: Convert to fraction form
    9,900.97/13,664.63 = 6,374.43/x
  3. Step 3: Cross multiply
    9,900.97x = 13,664.63 × 6,374.43
  4. Step 4: Simplify right side
    9,900.97x = 87,104,243.35
  5. Step 5: Solve for x
    x = 87,104,243.35/9,900.97
  6. Step 6: Final answer
    x = 8,797.55

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1.5x scale

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.