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Finding the Fourth Proportional to 8,356, 12,539.76 and 2,884

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Solution

The fourth proportional to 8,356, 12,539.76 and 2,884 is: 4,327.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356 : 12,539.76 = 2,884 : x
  2. Step 2: Convert to fraction form
    8,356/12,539.76 = 2,884/x
  3. Step 3: Cross multiply
    8,356x = 12,539.76 × 2,884
  4. Step 4: Simplify right side
    8,356x = 36,164,667.84
  5. Step 5: Solve for x
    x = 36,164,667.84/8,356
  6. Step 6: Final answer
    x = 4,327.99

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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.