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Finding the Fourth Proportional to 8,771.84, 13,158 and 2,928.24

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Solution

The fourth proportional to 8,771.84, 13,158 and 2,928.24 is: 4,392.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.84 : 13,158 = 2,928.24 : x
  2. Step 2: Convert to fraction form
    8,771.84/13,158 = 2,928.24/x
  3. Step 3: Cross multiply
    8,771.84x = 13,158 × 2,928.24
  4. Step 4: Simplify right side
    8,771.84x = 38,529,781.92
  5. Step 5: Solve for x
    x = 38,529,781.92/8,771.84
  6. Step 6: Final answer
    x = 4,392.44

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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.