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Finding the Fourth Proportional to 8,564, 12,846 and 2,408

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Solution

The fourth proportional to 8,564, 12,846 and 2,408 is: 3,612

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564 : 12,846 = 2,408 : x
  2. Step 2: Convert to fraction form
    8,564/12,846 = 2,408/x
  3. Step 3: Cross multiply
    8,564x = 12,846 × 2,408
  4. Step 4: Simplify right side
    8,564x = 30,933,168
  5. Step 5: Solve for x
    x = 30,933,168/8,564
  6. Step 6: Final answer
    x = 3,612

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.