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Finding the Fourth Proportional to 10,044.19, 13,857.81 and 5,794.68

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Solution

The fourth proportional to 10,044.19, 13,857.81 and 5,794.68 is: 7,994.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,044.19 : 13,857.81 = 5,794.68 : x
  2. Step 2: Convert to fraction form
    10,044.19/13,857.81 = 5,794.68/x
  3. Step 3: Cross multiply
    10,044.19x = 13,857.81 × 5,794.68
  4. Step 4: Simplify right side
    10,044.19x = 80,301,574.45
  5. Step 5: Solve for x
    x = 80,301,574.45/10,044.19
  6. Step 6: Final answer
    x = 7,994.83

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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.