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Finding the Fourth Proportional to 16,036, 22,129.68 and 9,412

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Solution

The fourth proportional to 16,036, 22,129.68 and 9,412 is: 12,988.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,036 : 22,129.68 = 9,412 : x
  2. Step 2: Convert to fraction form
    16,036/22,129.68 = 9,412/x
  3. Step 3: Cross multiply
    16,036x = 22,129.68 × 9,412
  4. Step 4: Simplify right side
    16,036x = 208,284,548.16
  5. Step 5: Solve for x
    x = 208,284,548.16/16,036
  6. Step 6: Final answer
    x = 12,988.56

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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.