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Finding the Fourth Proportional to 3,018.32, 4,165.52 and 1,692

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Solution

The fourth proportional to 3,018.32, 4,165.52 and 1,692 is: 2,335.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,018.32 : 4,165.52 = 1,692 : x
  2. Step 2: Convert to fraction form
    3,018.32/4,165.52 = 1,692/x
  3. Step 3: Cross multiply
    3,018.32x = 4,165.52 × 1,692
  4. Step 4: Simplify right side
    3,018.32x = 7,048,059.84
  5. Step 5: Solve for x
    x = 7,048,059.84/3,018.32
  6. Step 6: Final answer
    x = 2,335.09

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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.