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Finding the Fourth Proportional to 11,605.30, 16,005 and 9,366.46

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Solution

The fourth proportional to 11,605.30, 16,005 and 9,366.46 is: 12,917.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.30 : 16,005 = 9,366.46 : x
  2. Step 2: Convert to fraction form
    11,605.30/16,005 = 9,366.46/x
  3. Step 3: Cross multiply
    11,605.30x = 16,005 × 9,366.46
  4. Step 4: Simplify right side
    11,605.30x = 149,910,192.30
  5. Step 5: Solve for x
    x = 149,910,192.30/11,605.30
  6. Step 6: Final answer
    x = 12,917.39

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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.