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Finding the Fourth Proportional to 7,112.30, 9,814.94 and 3,968.48

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Solution

The fourth proportional to 7,112.30, 9,814.94 and 3,968.48 is: 5,476.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.30 : 9,814.94 = 3,968.48 : x
  2. Step 2: Convert to fraction form
    7,112.30/9,814.94 = 3,968.48/x
  3. Step 3: Cross multiply
    7,112.30x = 9,814.94 × 3,968.48
  4. Step 4: Simplify right side
    7,112.30x = 38,950,393.09
  5. Step 5: Solve for x
    x = 38,950,393.09/7,112.30
  6. Step 6: Final answer
    x = 5,476.48

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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.