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Finding the Fourth Proportional to 7,640.16, 10,544.22 and 4,283.88

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Solution

The fourth proportional to 7,640.16, 10,544.22 and 4,283.88 is: 5,912.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.16 : 10,544.22 = 4,283.88 : x
  2. Step 2: Convert to fraction form
    7,640.16/10,544.22 = 4,283.88/x
  3. Step 3: Cross multiply
    7,640.16x = 10,544.22 × 4,283.88
  4. Step 4: Simplify right side
    7,640.16x = 45,170,173.17
  5. Step 5: Solve for x
    x = 45,170,173.17/7,640.16
  6. Step 6: Final answer
    x = 5,912.20

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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.