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Finding the Fourth Proportional to 22,005.76, 33,021.60 and 10,319.08

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Solution

The fourth proportional to 22,005.76, 33,021.60 and 10,319.08 is: 15,484.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,005.76 : 33,021.60 = 10,319.08 : x
  2. Step 2: Convert to fraction form
    22,005.76/33,021.60 = 10,319.08/x
  3. Step 3: Cross multiply
    22,005.76x = 33,021.60 × 10,319.08
  4. Step 4: Simplify right side
    22,005.76x = 340,752,532.13
  5. Step 5: Solve for x
    x = 340,752,532.13/22,005.76
  6. Step 6: Final answer
    x = 15,484.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.