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Finding the Fourth Proportional to 2,649, 3,655.62 and 1,717.50

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Solution

The fourth proportional to 2,649, 3,655.62 and 1,717.50 is: 2,370.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649 : 3,655.62 = 1,717.50 : x
  2. Step 2: Convert to fraction form
    2,649/3,655.62 = 1,717.50/x
  3. Step 3: Cross multiply
    2,649x = 3,655.62 × 1,717.50
  4. Step 4: Simplify right side
    2,649x = 6,278,527.35
  5. Step 5: Solve for x
    x = 6,278,527.35/2,649
  6. Step 6: Final answer
    x = 2,370.15

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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.