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Finding the Fourth Proportional to 7,114.92, 9,819 and 3,971.13

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Solution

The fourth proportional to 7,114.92, 9,819 and 3,971.13 is: 5,480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.92 : 9,819 = 3,971.13 : x
  2. Step 2: Convert to fraction form
    7,114.92/9,819 = 3,971.13/x
  3. Step 3: Cross multiply
    7,114.92x = 9,819 × 3,971.13
  4. Step 4: Simplify right side
    7,114.92x = 38,992,525.47
  5. Step 5: Solve for x
    x = 38,992,525.47/7,114.92
  6. Step 6: Final answer
    x = 5,480.39

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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.