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Finding the Fourth Proportional to 7,287.56, 10,056.90 and 3,975.56

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Solution

The fourth proportional to 7,287.56, 10,056.90 and 3,975.56 is: 5,486.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.56 : 10,056.90 = 3,975.56 : x
  2. Step 2: Convert to fraction form
    7,287.56/10,056.90 = 3,975.56/x
  3. Step 3: Cross multiply
    7,287.56x = 10,056.90 × 3,975.56
  4. Step 4: Simplify right side
    7,287.56x = 39,981,809.36
  5. Step 5: Solve for x
    x = 39,981,809.36/7,287.56
  6. Step 6: Final answer
    x = 5,486.31

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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.