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Finding the Fourth Proportional to 2,602, 3,589.68 and 1,705.48

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Solution

The fourth proportional to 2,602, 3,589.68 and 1,705.48 is: 2,352.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602 : 3,589.68 = 1,705.48 : x
  2. Step 2: Convert to fraction form
    2,602/3,589.68 = 1,705.48/x
  3. Step 3: Cross multiply
    2,602x = 3,589.68 × 1,705.48
  4. Step 4: Simplify right side
    2,602x = 6,122,127.45
  5. Step 5: Solve for x
    x = 6,122,127.45/2,602
  6. Step 6: Final answer
    x = 2,352.85

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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.