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Finding the Fourth Proportional to 7,128.66, 9,837.78 and 3,942.12

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Solution

The fourth proportional to 7,128.66, 9,837.78 and 3,942.12 is: 5,440.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.66 : 9,837.78 = 3,942.12 : x
  2. Step 2: Convert to fraction form
    7,128.66/9,837.78 = 3,942.12/x
  3. Step 3: Cross multiply
    7,128.66x = 9,837.78 × 3,942.12
  4. Step 4: Simplify right side
    7,128.66x = 38,781,709.29
  5. Step 5: Solve for x
    x = 38,781,709.29/7,128.66
  6. Step 6: Final answer
    x = 5,440.25

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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.