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Finding the Fourth Proportional to 3,404.61, 4,699.32 and 1,988.63

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Solution

The fourth proportional to 3,404.61, 4,699.32 and 1,988.63 is: 2,744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.61 : 4,699.32 = 1,988.63 : x
  2. Step 2: Convert to fraction form
    3,404.61/4,699.32 = 1,988.63/x
  3. Step 3: Cross multiply
    3,404.61x = 4,699.32 × 1,988.63
  4. Step 4: Simplify right side
    3,404.61x = 9,345,185.24
  5. Step 5: Solve for x
    x = 9,345,185.24/3,404.61
  6. Step 6: Final answer
    x = 2,744.86

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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.