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Finding the Fourth Proportional to 7,409.60, 10,223.72 and 4,222.22

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Solution

The fourth proportional to 7,409.60, 10,223.72 and 4,222.22 is: 5,825.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.60 : 10,223.72 = 4,222.22 : x
  2. Step 2: Convert to fraction form
    7,409.60/10,223.72 = 4,222.22/x
  3. Step 3: Cross multiply
    7,409.60x = 10,223.72 × 4,222.22
  4. Step 4: Simplify right side
    7,409.60x = 43,166,722.83
  5. Step 5: Solve for x
    x = 43,166,722.83/7,409.60
  6. Step 6: Final answer
    x = 5,825.78

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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.