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Finding the Fourth Proportional to 8,571.40, 12,857.10 and 6,384.40

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Solution

The fourth proportional to 8,571.40, 12,857.10 and 6,384.40 is: 9,576.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.40 : 12,857.10 = 6,384.40 : x
  2. Step 2: Convert to fraction form
    8,571.40/12,857.10 = 6,384.40/x
  3. Step 3: Cross multiply
    8,571.40x = 12,857.10 × 6,384.40
  4. Step 4: Simplify right side
    8,571.40x = 82,084,869.24
  5. Step 5: Solve for x
    x = 82,084,869.24/8,571.40
  6. Step 6: Final answer
    x = 9,576.60

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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.