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Finding the Fourth Proportional to 22,725.86, 34,090.16 and 7,143.48

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Solution

The fourth proportional to 22,725.86, 34,090.16 and 7,143.48 is: 10,715.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,725.86 : 34,090.16 = 7,143.48 : x
  2. Step 2: Convert to fraction form
    22,725.86/34,090.16 = 7,143.48/x
  3. Step 3: Cross multiply
    22,725.86x = 34,090.16 × 7,143.48
  4. Step 4: Simplify right side
    22,725.86x = 243,522,340.44
  5. Step 5: Solve for x
    x = 243,522,340.44/22,725.86
  6. Step 6: Final answer
    x = 10,715.65

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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.