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Finding the Fourth Proportional to 2,641.54, 3,646.80 and 1,803.50

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Solution

The fourth proportional to 2,641.54, 3,646.80 and 1,803.50 is: 2,489.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.54 : 3,646.80 = 1,803.50 : x
  2. Step 2: Convert to fraction form
    2,641.54/3,646.80 = 1,803.50/x
  3. Step 3: Cross multiply
    2,641.54x = 3,646.80 × 1,803.50
  4. Step 4: Simplify right side
    2,641.54x = 6,577,003.80
  5. Step 5: Solve for x
    x = 6,577,003.80/2,641.54
  6. Step 6: Final answer
    x = 2,489.84

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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.