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Finding the Fourth Proportional to 4,707.78, 7,057.31 and 1,784.13

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Solution

The fourth proportional to 4,707.78, 7,057.31 and 1,784.13 is: 2,674.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.78 : 7,057.31 = 1,784.13 : x
  2. Step 2: Convert to fraction form
    4,707.78/7,057.31 = 1,784.13/x
  3. Step 3: Cross multiply
    4,707.78x = 7,057.31 × 1,784.13
  4. Step 4: Simplify right side
    4,707.78x = 12,591,149.57
  5. Step 5: Solve for x
    x = 12,591,149.57/4,707.78
  6. Step 6: Final answer
    x = 2,674.54

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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.