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Finding the Fourth Proportional to 8,644.24, 12,972.78 and 6,428.24

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Solution

The fourth proportional to 8,644.24, 12,972.78 and 6,428.24 is: 9,647.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644.24 : 12,972.78 = 6,428.24 : x
  2. Step 2: Convert to fraction form
    8,644.24/12,972.78 = 6,428.24/x
  3. Step 3: Cross multiply
    8,644.24x = 12,972.78 × 6,428.24
  4. Step 4: Simplify right side
    8,644.24x = 83,392,143.31
  5. Step 5: Solve for x
    x = 83,392,143.31/8,644.24
  6. Step 6: Final answer
    x = 9,647.13

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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.