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Finding the Fourth Proportional to 3,599, 5,398.68 and 1,650.32

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Solution

The fourth proportional to 3,599, 5,398.68 and 1,650.32 is: 2,475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599 : 5,398.68 = 1,650.32 : x
  2. Step 2: Convert to fraction form
    3,599/5,398.68 = 1,650.32/x
  3. Step 3: Cross multiply
    3,599x = 5,398.68 × 1,650.32
  4. Step 4: Simplify right side
    3,599x = 8,909,549.58
  5. Step 5: Solve for x
    x = 8,909,549.58/3,599
  6. Step 6: Final answer
    x = 2,475.56

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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.