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Finding the Fourth Proportional to 20,978.99, 31,459.25 and 11,115.99

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Solution

The fourth proportional to 20,978.99, 31,459.25 and 11,115.99 is: 16,669.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.99 : 31,459.25 = 11,115.99 : x
  2. Step 2: Convert to fraction form
    20,978.99/31,459.25 = 11,115.99/x
  3. Step 3: Cross multiply
    20,978.99x = 31,459.25 × 11,115.99
  4. Step 4: Simplify right side
    20,978.99x = 349,700,652.83
  5. Step 5: Solve for x
    x = 349,700,652.83/20,978.99
  6. Step 6: Final answer
    x = 16,669.09

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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.