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Finding the Fourth Proportional to 8,490.21, 12,733.16 and 2,643.81

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Solution

The fourth proportional to 8,490.21, 12,733.16 and 2,643.81 is: 3,965.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.21 : 12,733.16 = 2,643.81 : x
  2. Step 2: Convert to fraction form
    8,490.21/12,733.16 = 2,643.81/x
  3. Step 3: Cross multiply
    8,490.21x = 12,733.16 × 2,643.81
  4. Step 4: Simplify right side
    8,490.21x = 33,664,042.52
  5. Step 5: Solve for x
    x = 33,664,042.52/8,490.21
  6. Step 6: Final answer
    x = 3,965.04

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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.