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Finding the Fourth Proportional to 11,205.14, 15,457.91 and 6,721.11

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Solution

The fourth proportional to 11,205.14, 15,457.91 and 6,721.11 is: 9,272.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.14 : 15,457.91 = 6,721.11 : x
  2. Step 2: Convert to fraction form
    11,205.14/15,457.91 = 6,721.11/x
  3. Step 3: Cross multiply
    11,205.14x = 15,457.91 × 6,721.11
  4. Step 4: Simplify right side
    11,205.14x = 103,894,279.87
  5. Step 5: Solve for x
    x = 103,894,279.87/11,205.14
  6. Step 6: Final answer
    x = 9,272.02

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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.