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Finding the Fourth Proportional to 11,115.65, 16,654.96 and 7,821.82

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Solution

The fourth proportional to 11,115.65, 16,654.96 and 7,821.82 is: 11,719.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,115.65 : 16,654.96 = 7,821.82 : x
  2. Step 2: Convert to fraction form
    11,115.65/16,654.96 = 7,821.82/x
  3. Step 3: Cross multiply
    11,115.65x = 16,654.96 × 7,821.82
  4. Step 4: Simplify right side
    11,115.65x = 130,272,038.04
  5. Step 5: Solve for x
    x = 130,272,038.04/11,115.65
  6. Step 6: Final answer
    x = 11,719.70

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1.5x scale

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.