Home / 5,414-8,119.76-1,518.70

Finding the Fourth Proportional to 5,414, 8,119.76 and 1,518.70

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Solution

The fourth proportional to 5,414, 8,119.76 and 1,518.70 is: 2,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414 : 8,119.76 = 1,518.70 : x
  2. Step 2: Convert to fraction form
    5,414/8,119.76 = 1,518.70/x
  3. Step 3: Cross multiply
    5,414x = 8,119.76 × 1,518.70
  4. Step 4: Simplify right side
    5,414x = 12,331,479.51
  5. Step 5: Solve for x
    x = 12,331,479.51/5,414
  6. Step 6: Final answer
    x = 2,277.70

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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.