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Finding the Fourth Proportional to 16,036.80, 22,128.48 and 9,749.76

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Solution

The fourth proportional to 16,036.80, 22,128.48 and 9,749.76 is: 13,453.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,036.80 : 22,128.48 = 9,749.76 : x
  2. Step 2: Convert to fraction form
    16,036.80/22,128.48 = 9,749.76/x
  3. Step 3: Cross multiply
    16,036.80x = 22,128.48 × 9,749.76
  4. Step 4: Simplify right side
    16,036.80x = 215,747,369.16
  5. Step 5: Solve for x
    x = 215,747,369.16/16,036.80
  6. Step 6: Final answer
    x = 13,453.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.