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Finding the Fourth Proportional to 8,685.28, 13,029 and 2,840.32

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Solution

The fourth proportional to 8,685.28, 13,029 and 2,840.32 is: 4,260.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,685.28 : 13,029 = 2,840.32 : x
  2. Step 2: Convert to fraction form
    8,685.28/13,029 = 2,840.32/x
  3. Step 3: Cross multiply
    8,685.28x = 13,029 × 2,840.32
  4. Step 4: Simplify right side
    8,685.28x = 37,006,529.28
  5. Step 5: Solve for x
    x = 37,006,529.28/8,685.28
  6. Step 6: Final answer
    x = 4,260.83

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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.