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Finding the Fourth Proportional to 14,694.25, 20,278.08 and 8,406.64

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Solution

The fourth proportional to 14,694.25, 20,278.08 and 8,406.64 is: 11,601.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,694.25 : 20,278.08 = 8,406.64 : x
  2. Step 2: Convert to fraction form
    14,694.25/20,278.08 = 8,406.64/x
  3. Step 3: Cross multiply
    14,694.25x = 20,278.08 × 8,406.64
  4. Step 4: Simplify right side
    14,694.25x = 170,470,518.45
  5. Step 5: Solve for x
    x = 170,470,518.45/14,694.25
  6. Step 6: Final answer
    x = 11,601.17

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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.