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Finding the Fourth Proportional to 11,663.76, 16,101.54 and 7,191.21

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Solution

The fourth proportional to 11,663.76, 16,101.54 and 7,191.21 is: 9,927.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.76 : 16,101.54 = 7,191.21 : x
  2. Step 2: Convert to fraction form
    11,663.76/16,101.54 = 7,191.21/x
  3. Step 3: Cross multiply
    11,663.76x = 16,101.54 × 7,191.21
  4. Step 4: Simplify right side
    11,663.76x = 115,789,555.46
  5. Step 5: Solve for x
    x = 115,789,555.46/11,663.76
  6. Step 6: Final answer
    x = 9,927.29

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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.