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Finding the Fourth Proportional to 3,374.39, 5,061.51 and 909.45

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Solution

The fourth proportional to 3,374.39, 5,061.51 and 909.45 is: 1,364.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.39 : 5,061.51 = 909.45 : x
  2. Step 2: Convert to fraction form
    3,374.39/5,061.51 = 909.45/x
  3. Step 3: Cross multiply
    3,374.39x = 5,061.51 × 909.45
  4. Step 4: Simplify right side
    3,374.39x = 4,603,190.27
  5. Step 5: Solve for x
    x = 4,603,190.27/3,374.39
  6. Step 6: Final answer
    x = 1,364.16

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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.