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Finding the Fourth Proportional to 12,804.56, 19,207.20 and 3,920.08

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Solution

The fourth proportional to 12,804.56, 19,207.20 and 3,920.08 is: 5,880.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804.56 : 19,207.20 = 3,920.08 : x
  2. Step 2: Convert to fraction form
    12,804.56/19,207.20 = 3,920.08/x
  3. Step 3: Cross multiply
    12,804.56x = 19,207.20 × 3,920.08
  4. Step 4: Simplify right side
    12,804.56x = 75,293,760.58
  5. Step 5: Solve for x
    x = 75,293,760.58/12,804.56
  6. Step 6: Final answer
    x = 5,880.23

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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.