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Finding the Fourth Proportional to 8,906.81, 13,356.31 and 4,228.17

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Solution

The fourth proportional to 8,906.81, 13,356.31 and 4,228.17 is: 6,340.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.81 : 13,356.31 = 4,228.17 : x
  2. Step 2: Convert to fraction form
    8,906.81/13,356.31 = 4,228.17/x
  3. Step 3: Cross multiply
    8,906.81x = 13,356.31 × 4,228.17
  4. Step 4: Simplify right side
    8,906.81x = 56,472,749.25
  5. Step 5: Solve for x
    x = 56,472,749.25/8,906.81
  6. Step 6: Final answer
    x = 6,340.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.