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Finding the Fourth Proportional to 9,314, 13,972.83 and 4,119.88

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Solution

The fourth proportional to 9,314, 13,972.83 and 4,119.88 is: 6,180.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314 : 13,972.83 = 4,119.88 : x
  2. Step 2: Convert to fraction form
    9,314/13,972.83 = 4,119.88/x
  3. Step 3: Cross multiply
    9,314x = 13,972.83 × 4,119.88
  4. Step 4: Simplify right side
    9,314x = 57,566,382.86
  5. Step 5: Solve for x
    x = 57,566,382.86/9,314
  6. Step 6: Final answer
    x = 6,180.63

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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.