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Finding the Fourth Proportional to 7,128.96, 9,837.63 and 4,144.38

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Solution

The fourth proportional to 7,128.96, 9,837.63 and 4,144.38 is: 5,719.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.96 : 9,837.63 = 4,144.38 : x
  2. Step 2: Convert to fraction form
    7,128.96/9,837.63 = 4,144.38/x
  3. Step 3: Cross multiply
    7,128.96x = 9,837.63 × 4,144.38
  4. Step 4: Simplify right side
    7,128.96x = 40,770,877.02
  5. Step 5: Solve for x
    x = 40,770,877.02/7,128.96
  6. Step 6: Final answer
    x = 5,719.05

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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.