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Finding the Fourth Proportional to 2,620.68, 3,617.10 and 1,501.80

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Solution

The fourth proportional to 2,620.68, 3,617.10 and 1,501.80 is: 2,072.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.68 : 3,617.10 = 1,501.80 : x
  2. Step 2: Convert to fraction form
    2,620.68/3,617.10 = 1,501.80/x
  3. Step 3: Cross multiply
    2,620.68x = 3,617.10 × 1,501.80
  4. Step 4: Simplify right side
    2,620.68x = 5,432,160.78
  5. Step 5: Solve for x
    x = 5,432,160.78/2,620.68
  6. Step 6: Final answer
    x = 2,072.81

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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.