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Finding the Fourth Proportional to 11,495.32, 17,264.85 and 7,143.19

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Solution

The fourth proportional to 11,495.32, 17,264.85 and 7,143.19 is: 10,728.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,495.32 : 17,264.85 = 7,143.19 : x
  2. Step 2: Convert to fraction form
    11,495.32/17,264.85 = 7,143.19/x
  3. Step 3: Cross multiply
    11,495.32x = 17,264.85 × 7,143.19
  4. Step 4: Simplify right side
    11,495.32x = 123,326,033.92
  5. Step 5: Solve for x
    x = 123,326,033.92/11,495.32
  6. Step 6: Final answer
    x = 10,728.37

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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.