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Finding the Fourth Proportional to 1,641.56, 2,444.03 and 1,618.58

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Solution

The fourth proportional to 1,641.56, 2,444.03 and 1,618.58 is: 2,409.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.56 : 2,444.03 = 1,618.58 : x
  2. Step 2: Convert to fraction form
    1,641.56/2,444.03 = 1,618.58/x
  3. Step 3: Cross multiply
    1,641.56x = 2,444.03 × 1,618.58
  4. Step 4: Simplify right side
    1,641.56x = 3,955,858.08
  5. Step 5: Solve for x
    x = 3,955,858.08/1,641.56
  6. Step 6: Final answer
    x = 2,409.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.