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Finding the Fourth Proportional to 3,374.98, 5,062.38 and 909.82

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Solution

The fourth proportional to 3,374.98, 5,062.38 and 909.82 is: 1,364.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.98 : 5,062.38 = 909.82 : x
  2. Step 2: Convert to fraction form
    3,374.98/5,062.38 = 909.82/x
  3. Step 3: Cross multiply
    3,374.98x = 5,062.38 × 909.82
  4. Step 4: Simplify right side
    3,374.98x = 4,605,857.49
  5. Step 5: Solve for x
    x = 4,605,857.49/3,374.98
  6. Step 6: Final answer
    x = 1,364.71

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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.