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Finding the Fourth Proportional to 8,435.44, 11,642.16 and 8,177.32

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Solution

The fourth proportional to 8,435.44, 11,642.16 and 8,177.32 is: 11,285.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.44 : 11,642.16 = 8,177.32 : x
  2. Step 2: Convert to fraction form
    8,435.44/11,642.16 = 8,177.32/x
  3. Step 3: Cross multiply
    8,435.44x = 11,642.16 × 8,177.32
  4. Step 4: Simplify right side
    8,435.44x = 95,201,667.81
  5. Step 5: Solve for x
    x = 95,201,667.81/8,435.44
  6. Step 6: Final answer
    x = 11,285.92

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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.