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Finding the Fourth Proportional to 11,964.87, 16,509.89 and 6,658.97

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Solution

The fourth proportional to 11,964.87, 16,509.89 and 6,658.97 is: 9,188.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.87 : 16,509.89 = 6,658.97 : x
  2. Step 2: Convert to fraction form
    11,964.87/16,509.89 = 6,658.97/x
  3. Step 3: Cross multiply
    11,964.87x = 16,509.89 × 6,658.97
  4. Step 4: Simplify right side
    11,964.87x = 109,938,796.31
  5. Step 5: Solve for x
    x = 109,938,796.31/11,964.87
  6. Step 6: Final answer
    x = 9,188.47

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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.