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Finding the Fourth Proportional to 3,254, 4,490.52 and 1,856.78

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Solution

The fourth proportional to 3,254, 4,490.52 and 1,856.78 is: 2,562.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254 : 4,490.52 = 1,856.78 : x
  2. Step 2: Convert to fraction form
    3,254/4,490.52 = 1,856.78/x
  3. Step 3: Cross multiply
    3,254x = 4,490.52 × 1,856.78
  4. Step 4: Simplify right side
    3,254x = 8,337,907.73
  5. Step 5: Solve for x
    x = 8,337,907.73/3,254
  6. Step 6: Final answer
    x = 2,562.36

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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.