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Finding the Fourth Proportional to 8,509.44, 12,764.17 and 4,127.54

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Solution

The fourth proportional to 8,509.44, 12,764.17 and 4,127.54 is: 6,191.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.44 : 12,764.17 = 4,127.54 : x
  2. Step 2: Convert to fraction form
    8,509.44/12,764.17 = 4,127.54/x
  3. Step 3: Cross multiply
    8,509.44x = 12,764.17 × 4,127.54
  4. Step 4: Simplify right side
    8,509.44x = 52,684,622.24
  5. Step 5: Solve for x
    x = 52,684,622.24/8,509.44
  6. Step 6: Final answer
    x = 6,191.31

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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.