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Finding the Fourth Proportional to 8,716.76, 13,074.93 and 2,142.93

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Solution

The fourth proportional to 8,716.76, 13,074.93 and 2,142.93 is: 3,214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,716.76 : 13,074.93 = 2,142.93 : x
  2. Step 2: Convert to fraction form
    8,716.76/13,074.93 = 2,142.93/x
  3. Step 3: Cross multiply
    8,716.76x = 13,074.93 × 2,142.93
  4. Step 4: Simplify right side
    8,716.76x = 28,018,659.74
  5. Step 5: Solve for x
    x = 28,018,659.74/8,716.76
  6. Step 6: Final answer
    x = 3,214.34

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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.