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Finding the Fourth Proportional to 2,553.60, 3,820.68 and 1,689.60

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Solution

The fourth proportional to 2,553.60, 3,820.68 and 1,689.60 is: 2,527.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.60 : 3,820.68 = 1,689.60 : x
  2. Step 2: Convert to fraction form
    2,553.60/3,820.68 = 1,689.60/x
  3. Step 3: Cross multiply
    2,553.60x = 3,820.68 × 1,689.60
  4. Step 4: Simplify right side
    2,553.60x = 6,455,420.93
  5. Step 5: Solve for x
    x = 6,455,420.93/2,553.60
  6. Step 6: Final answer
    x = 2,527.97

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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.