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Finding the Fourth Proportional to 7,104.25, 9,803.64 and 3,917.68

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Solution

The fourth proportional to 7,104.25, 9,803.64 and 3,917.68 is: 5,406.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.25 : 9,803.64 = 3,917.68 : x
  2. Step 2: Convert to fraction form
    7,104.25/9,803.64 = 3,917.68/x
  3. Step 3: Cross multiply
    7,104.25x = 9,803.64 × 3,917.68
  4. Step 4: Simplify right side
    7,104.25x = 38,407,502.07
  5. Step 5: Solve for x
    x = 38,407,502.07/7,104.25
  6. Step 6: Final answer
    x = 5,406.27

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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.