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Finding the Fourth Proportional to 6,306, 8,687.79 and 4,979.22

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Solution

The fourth proportional to 6,306, 8,687.79 and 4,979.22 is: 6,859.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306 : 8,687.79 = 4,979.22 : x
  2. Step 2: Convert to fraction form
    6,306/8,687.79 = 4,979.22/x
  3. Step 3: Cross multiply
    6,306x = 8,687.79 × 4,979.22
  4. Step 4: Simplify right side
    6,306x = 43,258,417.72
  5. Step 5: Solve for x
    x = 43,258,417.72/6,306
  6. Step 6: Final answer
    x = 6,859.88

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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.