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Finding the Fourth Proportional to 7,111.70, 9,813.81 and 3,968.34

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Solution

The fourth proportional to 7,111.70, 9,813.81 and 3,968.34 is: 5,476.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.70 : 9,813.81 = 3,968.34 : x
  2. Step 2: Convert to fraction form
    7,111.70/9,813.81 = 3,968.34/x
  3. Step 3: Cross multiply
    7,111.70x = 9,813.81 × 3,968.34
  4. Step 4: Simplify right side
    7,111.70x = 38,944,534.78
  5. Step 5: Solve for x
    x = 38,944,534.78/7,111.70
  6. Step 6: Final answer
    x = 5,476.12

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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.