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Finding the Fourth Proportional to 2,047.28, 3,070.91 and 586.54

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Solution

The fourth proportional to 2,047.28, 3,070.91 and 586.54 is: 879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.28 : 3,070.91 = 586.54 : x
  2. Step 2: Convert to fraction form
    2,047.28/3,070.91 = 586.54/x
  3. Step 3: Cross multiply
    2,047.28x = 3,070.91 × 586.54
  4. Step 4: Simplify right side
    2,047.28x = 1,801,216.86
  5. Step 5: Solve for x
    x = 1,801,216.86/2,047.28
  6. Step 6: Final answer
    x = 879.81

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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.