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Finding the Fourth Proportional to 7,754.70, 10,701.36 and 4,218

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Solution

The fourth proportional to 7,754.70, 10,701.36 and 4,218 is: 5,820.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.70 : 10,701.36 = 4,218 : x
  2. Step 2: Convert to fraction form
    7,754.70/10,701.36 = 4,218/x
  3. Step 3: Cross multiply
    7,754.70x = 10,701.36 × 4,218
  4. Step 4: Simplify right side
    7,754.70x = 45,138,336.48
  5. Step 5: Solve for x
    x = 45,138,336.48/7,754.70
  6. Step 6: Final answer
    x = 5,820.77

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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.