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Finding the Fourth Proportional to 8,697.92, 13,049.30 and 2,858.63

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Solution

The fourth proportional to 8,697.92, 13,049.30 and 2,858.63 is: 4,288.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.92 : 13,049.30 = 2,858.63 : x
  2. Step 2: Convert to fraction form
    8,697.92/13,049.30 = 2,858.63/x
  3. Step 3: Cross multiply
    8,697.92x = 13,049.30 × 2,858.63
  4. Step 4: Simplify right side
    8,697.92x = 37,303,062.36
  5. Step 5: Solve for x
    x = 37,303,062.36/8,697.92
  6. Step 6: Final answer
    x = 4,288.74

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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.