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Finding the Fourth Proportional to 8,164.72, 11,268.01 and 4,627.72

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Solution

The fourth proportional to 8,164.72, 11,268.01 and 4,627.72 is: 6,386.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.72 : 11,268.01 = 4,627.72 : x
  2. Step 2: Convert to fraction form
    8,164.72/11,268.01 = 4,627.72/x
  3. Step 3: Cross multiply
    8,164.72x = 11,268.01 × 4,627.72
  4. Step 4: Simplify right side
    8,164.72x = 52,145,195.24
  5. Step 5: Solve for x
    x = 52,145,195.24/8,164.72
  6. Step 6: Final answer
    x = 6,386.65

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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.