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Finding the Fourth Proportional to 8,712.06, 13,063.74 and 2,788.20

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Solution

The fourth proportional to 8,712.06, 13,063.74 and 2,788.20 is: 4,180.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,712.06 : 13,063.74 = 2,788.20 : x
  2. Step 2: Convert to fraction form
    8,712.06/13,063.74 = 2,788.20/x
  3. Step 3: Cross multiply
    8,712.06x = 13,063.74 × 2,788.20
  4. Step 4: Simplify right side
    8,712.06x = 36,424,319.87
  5. Step 5: Solve for x
    x = 36,424,319.87/8,712.06
  6. Step 6: Final answer
    x = 4,180.91

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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.