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Finding the Fourth Proportional to 8,662.28, 11,938.74 and 6,899.72

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Solution

The fourth proportional to 8,662.28, 11,938.74 and 6,899.72 is: 9,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.28 : 11,938.74 = 6,899.72 : x
  2. Step 2: Convert to fraction form
    8,662.28/11,938.74 = 6,899.72/x
  3. Step 3: Cross multiply
    8,662.28x = 11,938.74 × 6,899.72
  4. Step 4: Simplify right side
    8,662.28x = 82,373,963.15
  5. Step 5: Solve for x
    x = 82,373,963.15/8,662.28
  6. Step 6: Final answer
    x = 9,509.50

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1.5x scale

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.