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Finding the Fourth Proportional to 7,047.75, 9,725.90 and 3,904.14

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Solution

The fourth proportional to 7,047.75, 9,725.90 and 3,904.14 is: 5,387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.75 : 9,725.90 = 3,904.14 : x
  2. Step 2: Convert to fraction form
    7,047.75/9,725.90 = 3,904.14/x
  3. Step 3: Cross multiply
    7,047.75x = 9,725.90 × 3,904.14
  4. Step 4: Simplify right side
    7,047.75x = 37,971,255.71
  5. Step 5: Solve for x
    x = 37,971,255.71/7,047.75
  6. Step 6: Final answer
    x = 5,387.71

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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.