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Finding the Fourth Proportional to 11,689.98, 16,132.53 and 7,213.92

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Solution

The fourth proportional to 11,689.98, 16,132.53 and 7,213.92 is: 9,955.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.98 : 16,132.53 = 7,213.92 : x
  2. Step 2: Convert to fraction form
    11,689.98/16,132.53 = 7,213.92/x
  3. Step 3: Cross multiply
    11,689.98x = 16,132.53 × 7,213.92
  4. Step 4: Simplify right side
    11,689.98x = 116,378,780.82
  5. Step 5: Solve for x
    x = 116,378,780.82/11,689.98
  6. Step 6: Final answer
    x = 9,955.43

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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.