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Finding the Fourth Proportional to 2,847.63, 3,928.26 and 2,317.11

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Solution

The fourth proportional to 2,847.63, 3,928.26 and 2,317.11 is: 3,196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.63 : 3,928.26 = 2,317.11 : x
  2. Step 2: Convert to fraction form
    2,847.63/3,928.26 = 2,317.11/x
  3. Step 3: Cross multiply
    2,847.63x = 3,928.26 × 2,317.11
  4. Step 4: Simplify right side
    2,847.63x = 9,102,210.53
  5. Step 5: Solve for x
    x = 9,102,210.53/2,847.63
  6. Step 6: Final answer
    x = 3,196.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.