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Finding the Fourth Proportional to 3,374.90, 5,061.89 and 909.87

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Solution

The fourth proportional to 3,374.90, 5,061.89 and 909.87 is: 1,364.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.90 : 5,061.89 = 909.87 : x
  2. Step 2: Convert to fraction form
    3,374.90/5,061.89 = 909.87/x
  3. Step 3: Cross multiply
    3,374.90x = 5,061.89 × 909.87
  4. Step 4: Simplify right side
    3,374.90x = 4,605,661.85
  5. Step 5: Solve for x
    x = 4,605,661.85/3,374.90
  6. Step 6: Final answer
    x = 1,364.68

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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.