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Finding the Fourth Proportional to 2,874.40, 4,310.47 and 1,119.17

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Solution

The fourth proportional to 2,874.40, 4,310.47 and 1,119.17 is: 1,678.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.40 : 4,310.47 = 1,119.17 : x
  2. Step 2: Convert to fraction form
    2,874.40/4,310.47 = 1,119.17/x
  3. Step 3: Cross multiply
    2,874.40x = 4,310.47 × 1,119.17
  4. Step 4: Simplify right side
    2,874.40x = 4,824,148.71
  5. Step 5: Solve for x
    x = 4,824,148.71/2,874.40
  6. Step 6: Final answer
    x = 1,678.32

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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.