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Finding the Fourth Proportional to 10,910.40, 16,382 and 6,235.68

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Solution

The fourth proportional to 10,910.40, 16,382 and 6,235.68 is: 9,362.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,910.40 : 16,382 = 6,235.68 : x
  2. Step 2: Convert to fraction form
    10,910.40/16,382 = 6,235.68/x
  3. Step 3: Cross multiply
    10,910.40x = 16,382 × 6,235.68
  4. Step 4: Simplify right side
    10,910.40x = 102,152,909.76
  5. Step 5: Solve for x
    x = 102,152,909.76/10,910.40
  6. Step 6: Final answer
    x = 9,362.89

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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.