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Finding the Fourth Proportional to 16,187.80, 22,709 and 16,187.80

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Solution

The fourth proportional to 16,187.80, 22,709 and 16,187.80 is: 22,709

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,187.80 : 22,709 = 16,187.80 : x
  2. Step 2: Convert to fraction form
    16,187.80/22,709 = 16,187.80/x
  3. Step 3: Cross multiply
    16,187.80x = 22,709 × 16,187.80
  4. Step 4: Simplify right side
    16,187.80x = 367,608,750.20
  5. Step 5: Solve for x
    x = 367,608,750.20/16,187.80
  6. Step 6: Final answer
    x = 22,709

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.