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Finding the Fourth Proportional to 8,509.74, 12,767.16 and 4,127.34

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Solution

The fourth proportional to 8,509.74, 12,767.16 and 4,127.34 is: 6,192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.74 : 12,767.16 = 4,127.34 : x
  2. Step 2: Convert to fraction form
    8,509.74/12,767.16 = 4,127.34/x
  3. Step 3: Cross multiply
    8,509.74x = 12,767.16 × 4,127.34
  4. Step 4: Simplify right side
    8,509.74x = 52,694,410.15
  5. Step 5: Solve for x
    x = 52,694,410.15/8,509.74
  6. Step 6: Final answer
    x = 6,192.25

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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.