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Finding the Fourth Proportional to 13,205.54, 19,794.97 and 8,278.64

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Solution

The fourth proportional to 13,205.54, 19,794.97 and 8,278.64 is: 12,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.54 : 19,794.97 = 8,278.64 : x
  2. Step 2: Convert to fraction form
    13,205.54/19,794.97 = 8,278.64/x
  3. Step 3: Cross multiply
    13,205.54x = 19,794.97 × 8,278.64
  4. Step 4: Simplify right side
    13,205.54x = 163,875,341.81
  5. Step 5: Solve for x
    x = 163,875,341.81/13,205.54
  6. Step 6: Final answer
    x = 12,409.60

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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.