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Finding the Fourth Proportional to 2,443.72, 3,657.30 and 1,661.80

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Solution

The fourth proportional to 2,443.72, 3,657.30 and 1,661.80 is: 2,487.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.72 : 3,657.30 = 1,661.80 : x
  2. Step 2: Convert to fraction form
    2,443.72/3,657.30 = 1,661.80/x
  3. Step 3: Cross multiply
    2,443.72x = 3,657.30 × 1,661.80
  4. Step 4: Simplify right side
    2,443.72x = 6,077,701.14
  5. Step 5: Solve for x
    x = 6,077,701.14/2,443.72
  6. Step 6: Final answer
    x = 2,487.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.