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Finding the Fourth Proportional to 22,345.14, 30,850.74 and 13,856.28

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Solution

The fourth proportional to 22,345.14, 30,850.74 and 13,856.28 is: 19,130.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,345.14 : 30,850.74 = 13,856.28 : x
  2. Step 2: Convert to fraction form
    22,345.14/30,850.74 = 13,856.28/x
  3. Step 3: Cross multiply
    22,345.14x = 30,850.74 × 13,856.28
  4. Step 4: Simplify right side
    22,345.14x = 427,476,491.65
  5. Step 5: Solve for x
    x = 427,476,491.65/22,345.14
  6. Step 6: Final answer
    x = 19,130.62

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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.