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Finding the Fourth Proportional to 8,143.36, 12,215.64 and 2,949.28

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Solution

The fourth proportional to 8,143.36, 12,215.64 and 2,949.28 is: 4,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.36 : 12,215.64 = 2,949.28 : x
  2. Step 2: Convert to fraction form
    8,143.36/12,215.64 = 2,949.28/x
  3. Step 3: Cross multiply
    8,143.36x = 12,215.64 × 2,949.28
  4. Step 4: Simplify right side
    8,143.36x = 36,027,342.74
  5. Step 5: Solve for x
    x = 36,027,342.74/8,143.36
  6. Step 6: Final answer
    x = 4,424.14

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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.