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Finding the Fourth Proportional to 3,119.49, 4,678.11 and 1,364.40

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Solution

The fourth proportional to 3,119.49, 4,678.11 and 1,364.40 is: 2,046.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.49 : 4,678.11 = 1,364.40 : x
  2. Step 2: Convert to fraction form
    3,119.49/4,678.11 = 1,364.40/x
  3. Step 3: Cross multiply
    3,119.49x = 4,678.11 × 1,364.40
  4. Step 4: Simplify right side
    3,119.49x = 6,382,813.28
  5. Step 5: Solve for x
    x = 6,382,813.28/3,119.49
  6. Step 6: Final answer
    x = 2,046.11

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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.