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Finding the Fourth Proportional to 8,704.72, 13,054.92 and 2,859.76

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Solution

The fourth proportional to 8,704.72, 13,054.92 and 2,859.76 is: 4,288.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,704.72 : 13,054.92 = 2,859.76 : x
  2. Step 2: Convert to fraction form
    8,704.72/13,054.92 = 2,859.76/x
  3. Step 3: Cross multiply
    8,704.72x = 13,054.92 × 2,859.76
  4. Step 4: Simplify right side
    8,704.72x = 37,333,938.02
  5. Step 5: Solve for x
    x = 37,333,938.02/8,704.72
  6. Step 6: Final answer
    x = 4,288.93

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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.