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Finding the Fourth Proportional to 7,287.52, 10,056.78 and 3,975.52

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Solution

The fourth proportional to 7,287.52, 10,056.78 and 3,975.52 is: 5,486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.52 : 10,056.78 = 3,975.52 : x
  2. Step 2: Convert to fraction form
    7,287.52/10,056.78 = 3,975.52/x
  3. Step 3: Cross multiply
    7,287.52x = 10,056.78 × 3,975.52
  4. Step 4: Simplify right side
    7,287.52x = 39,980,930.03
  5. Step 5: Solve for x
    x = 39,980,930.03/7,287.52
  6. Step 6: Final answer
    x = 5,486.22

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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.