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Finding the Fourth Proportional to 11,115.83, 16,655.24 and 7,822.01

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Solution

The fourth proportional to 11,115.83, 16,655.24 and 7,822.01 is: 11,719.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,115.83 : 16,655.24 = 7,822.01 : x
  2. Step 2: Convert to fraction form
    11,115.83/16,655.24 = 7,822.01/x
  3. Step 3: Cross multiply
    11,115.83x = 16,655.24 × 7,822.01
  4. Step 4: Simplify right side
    11,115.83x = 130,277,331.45
  5. Step 5: Solve for x
    x = 130,277,331.45/11,115.83
  6. Step 6: Final answer
    x = 11,719.98

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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.