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Finding the Fourth Proportional to 3,475.25, 5,212.91 and 878.19

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Solution

The fourth proportional to 3,475.25, 5,212.91 and 878.19 is: 1,317.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.25 : 5,212.91 = 878.19 : x
  2. Step 2: Convert to fraction form
    3,475.25/5,212.91 = 878.19/x
  3. Step 3: Cross multiply
    3,475.25x = 5,212.91 × 878.19
  4. Step 4: Simplify right side
    3,475.25x = 4,577,927.63
  5. Step 5: Solve for x
    x = 4,577,927.63/3,475.25
  6. Step 6: Final answer
    x = 1,317.29

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1.5x scale

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.