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Finding the Fourth Proportional to 8,712.63, 13,068.74 and 2,138.81

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Solution

The fourth proportional to 8,712.63, 13,068.74 and 2,138.81 is: 3,208.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,712.63 : 13,068.74 = 2,138.81 : x
  2. Step 2: Convert to fraction form
    8,712.63/13,068.74 = 2,138.81/x
  3. Step 3: Cross multiply
    8,712.63x = 13,068.74 × 2,138.81
  4. Step 4: Simplify right side
    8,712.63x = 27,951,491.80
  5. Step 5: Solve for x
    x = 27,951,491.80/8,712.63
  6. Step 6: Final answer
    x = 3,208.16

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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.