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Finding the Fourth Proportional to 5,225.86, 7,211.78 and 2,868.22

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Solution

The fourth proportional to 5,225.86, 7,211.78 and 2,868.22 is: 3,958.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.86 : 7,211.78 = 2,868.22 : x
  2. Step 2: Convert to fraction form
    5,225.86/7,211.78 = 2,868.22/x
  3. Step 3: Cross multiply
    5,225.86x = 7,211.78 × 2,868.22
  4. Step 4: Simplify right side
    5,225.86x = 20,684,971.63
  5. Step 5: Solve for x
    x = 20,684,971.63/5,225.86
  6. Step 6: Final answer
    x = 3,958.19

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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.