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Finding the Fourth Proportional to 7,899, 10,900.46 and 4,314

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Solution

The fourth proportional to 7,899, 10,900.46 and 4,314 is: 5,953.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,899 : 10,900.46 = 4,314 : x
  2. Step 2: Convert to fraction form
    7,899/10,900.46 = 4,314/x
  3. Step 3: Cross multiply
    7,899x = 10,900.46 × 4,314
  4. Step 4: Simplify right side
    7,899x = 47,024,584.44
  5. Step 5: Solve for x
    x = 47,024,584.44/7,899
  6. Step 6: Final answer
    x = 5,953.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.