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Finding the Fourth Proportional to 3,384.90, 5,077.68 and 919.74

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Solution

The fourth proportional to 3,384.90, 5,077.68 and 919.74 is: 1,379.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.90 : 5,077.68 = 919.74 : x
  2. Step 2: Convert to fraction form
    3,384.90/5,077.68 = 919.74/x
  3. Step 3: Cross multiply
    3,384.90x = 5,077.68 × 919.74
  4. Step 4: Simplify right side
    3,384.90x = 4,670,145.40
  5. Step 5: Solve for x
    x = 4,670,145.40/3,384.90
  6. Step 6: Final answer
    x = 1,379.70

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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.