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Finding the Fourth Proportional to 8,906.10, 13,359.15 and 8,214.90

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Solution

The fourth proportional to 8,906.10, 13,359.15 and 8,214.90 is: 12,322.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.10 : 13,359.15 = 8,214.90 : x
  2. Step 2: Convert to fraction form
    8,906.10/13,359.15 = 8,214.90/x
  3. Step 3: Cross multiply
    8,906.10x = 13,359.15 × 8,214.90
  4. Step 4: Simplify right side
    8,906.10x = 109,744,081.34
  5. Step 5: Solve for x
    x = 109,744,081.34/8,906.10
  6. Step 6: Final answer
    x = 12,322.35

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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.