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Finding the Fourth Proportional to 2,856.14, 4,284.49 and 776.17

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Solution

The fourth proportional to 2,856.14, 4,284.49 and 776.17 is: 1,164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.14 : 4,284.49 = 776.17 : x
  2. Step 2: Convert to fraction form
    2,856.14/4,284.49 = 776.17/x
  3. Step 3: Cross multiply
    2,856.14x = 4,284.49 × 776.17
  4. Step 4: Simplify right side
    2,856.14x = 3,325,492.60
  5. Step 5: Solve for x
    x = 3,325,492.60/2,856.14
  6. Step 6: Final answer
    x = 1,164.33

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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.