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Finding the Fourth Proportional to 2,856.68, 4,284.98 and 908.86

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Solution

The fourth proportional to 2,856.68, 4,284.98 and 908.86 is: 1,363.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.68 : 4,284.98 = 908.86 : x
  2. Step 2: Convert to fraction form
    2,856.68/4,284.98 = 908.86/x
  3. Step 3: Cross multiply
    2,856.68x = 4,284.98 × 908.86
  4. Step 4: Simplify right side
    2,856.68x = 3,894,420.95
  5. Step 5: Solve for x
    x = 3,894,420.95/2,856.68
  6. Step 6: Final answer
    x = 1,363.27

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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.