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Finding the Fourth Proportional to 19,604.32, 29,406.44 and 8,509.57

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Solution

The fourth proportional to 19,604.32, 29,406.44 and 8,509.57 is: 12,764.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,604.32 : 29,406.44 = 8,509.57 : x
  2. Step 2: Convert to fraction form
    19,604.32/29,406.44 = 8,509.57/x
  3. Step 3: Cross multiply
    19,604.32x = 29,406.44 × 8,509.57
  4. Step 4: Simplify right side
    19,604.32x = 250,236,117.08
  5. Step 5: Solve for x
    x = 250,236,117.08/19,604.32
  6. Step 6: Final answer
    x = 12,764.34

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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.