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Finding the Fourth Proportional to 7,124, 9,833.26 and 4,471.36

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Solution

The fourth proportional to 7,124, 9,833.26 and 4,471.36 is: 6,171.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124 : 9,833.26 = 4,471.36 : x
  2. Step 2: Convert to fraction form
    7,124/9,833.26 = 4,471.36/x
  3. Step 3: Cross multiply
    7,124x = 9,833.26 × 4,471.36
  4. Step 4: Simplify right side
    7,124x = 43,968,045.43
  5. Step 5: Solve for x
    x = 43,968,045.43/7,124
  6. Step 6: Final answer
    x = 6,171.82

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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.