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Finding the Fourth Proportional to 3,415, 5,121.36 and 1,334.46

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Solution

The fourth proportional to 3,415, 5,121.36 and 1,334.46 is: 2,001.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415 : 5,121.36 = 1,334.46 : x
  2. Step 2: Convert to fraction form
    3,415/5,121.36 = 1,334.46/x
  3. Step 3: Cross multiply
    3,415x = 5,121.36 × 1,334.46
  4. Step 4: Simplify right side
    3,415x = 6,834,250.07
  5. Step 5: Solve for x
    x = 6,834,250.07/3,415
  6. Step 6: Final answer
    x = 2,001.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.