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Finding the Fourth Proportional to 3,415, 5,122.62 and 1,953.48

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Solution

The fourth proportional to 3,415, 5,122.62 and 1,953.48 is: 2,930.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415 : 5,122.62 = 1,953.48 : x
  2. Step 2: Convert to fraction form
    3,415/5,122.62 = 1,953.48/x
  3. Step 3: Cross multiply
    3,415x = 5,122.62 × 1,953.48
  4. Step 4: Simplify right side
    3,415x = 10,006,935.72
  5. Step 5: Solve for x
    x = 10,006,935.72/3,415
  6. Step 6: Final answer
    x = 2,930.29

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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.