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Finding the Fourth Proportional to 11,658.81, 16,087.32 and 6,553.32

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Solution

The fourth proportional to 11,658.81, 16,087.32 and 6,553.32 is: 9,042.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.81 : 16,087.32 = 6,553.32 : x
  2. Step 2: Convert to fraction form
    11,658.81/16,087.32 = 6,553.32/x
  3. Step 3: Cross multiply
    11,658.81x = 16,087.32 × 6,553.32
  4. Step 4: Simplify right side
    11,658.81x = 105,425,355.90
  5. Step 5: Solve for x
    x = 105,425,355.90/11,658.81
  6. Step 6: Final answer
    x = 9,042.55

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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.