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Finding the Fourth Proportional to 3,415.37, 4,712.38 and 1,922.74

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Solution

The fourth proportional to 3,415.37, 4,712.38 and 1,922.74 is: 2,652.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.37 : 4,712.38 = 1,922.74 : x
  2. Step 2: Convert to fraction form
    3,415.37/4,712.38 = 1,922.74/x
  3. Step 3: Cross multiply
    3,415.37x = 4,712.38 × 1,922.74
  4. Step 4: Simplify right side
    3,415.37x = 9,060,664.93
  5. Step 5: Solve for x
    x = 9,060,664.93/3,415.37
  6. Step 6: Final answer
    x = 2,652.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.