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Finding the Fourth Proportional to 5,640.96, 7,784.74 and 3,749.28

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Solution

The fourth proportional to 5,640.96, 7,784.74 and 3,749.28 is: 5,174.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.96 : 7,784.74 = 3,749.28 : x
  2. Step 2: Convert to fraction form
    5,640.96/7,784.74 = 3,749.28/x
  3. Step 3: Cross multiply
    5,640.96x = 7,784.74 × 3,749.28
  4. Step 4: Simplify right side
    5,640.96x = 29,187,169.99
  5. Step 5: Solve for x
    x = 29,187,169.99/5,640.96
  6. Step 6: Final answer
    x = 5,174.15

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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.