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Finding the Fourth Proportional to 6,279.28, 8,664.28 and 4,070

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Solution

The fourth proportional to 6,279.28, 8,664.28 and 4,070 is: 5,615.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,279.28 : 8,664.28 = 4,070 : x
  2. Step 2: Convert to fraction form
    6,279.28/8,664.28 = 4,070/x
  3. Step 3: Cross multiply
    6,279.28x = 8,664.28 × 4,070
  4. Step 4: Simplify right side
    6,279.28x = 35,263,619.60
  5. Step 5: Solve for x
    x = 35,263,619.60/6,279.28
  6. Step 6: Final answer
    x = 5,615.87

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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.