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Finding the Fourth Proportional to 4,725, 7,090.74 and 1,647

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Solution

The fourth proportional to 4,725, 7,090.74 and 1,647 is: 2,471.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725 : 7,090.74 = 1,647 : x
  2. Step 2: Convert to fraction form
    4,725/7,090.74 = 1,647/x
  3. Step 3: Cross multiply
    4,725x = 7,090.74 × 1,647
  4. Step 4: Simplify right side
    4,725x = 11,678,448.78
  5. Step 5: Solve for x
    x = 11,678,448.78/4,725
  6. Step 6: Final answer
    x = 2,471.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.