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Finding the Fourth Proportional to 8,906.84, 13,356.34 and 4,228.18

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Solution

The fourth proportional to 8,906.84, 13,356.34 and 4,228.18 is: 6,340.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.84 : 13,356.34 = 4,228.18 : x
  2. Step 2: Convert to fraction form
    8,906.84/13,356.34 = 4,228.18/x
  3. Step 3: Cross multiply
    8,906.84x = 13,356.34 × 4,228.18
  4. Step 4: Simplify right side
    8,906.84x = 56,473,009.66
  5. Step 5: Solve for x
    x = 56,473,009.66/8,906.84
  6. Step 6: Final answer
    x = 6,340.41

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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.