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Finding the Fourth Proportional to 9,321.00, 13,955.34 and 6,991.84

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Solution

The fourth proportional to 9,321.00, 13,955.34 and 6,991.84 is: 10,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.00 : 13,955.34 = 6,991.84 : x
  2. Step 2: Convert to fraction form
    9,321.00/13,955.34 = 6,991.84/x
  3. Step 3: Cross multiply
    9,321.00x = 13,955.34 × 6,991.84
  4. Step 4: Simplify right side
    9,321.00x = 97,573,469.47
  5. Step 5: Solve for x
    x = 97,573,469.47/9,321.00
  6. Step 6: Final answer
    x = 10,468.14

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1.5x scale

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.