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Finding the Fourth Proportional to 2,031.85, 3,047.78 and 570.97

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Solution

The fourth proportional to 2,031.85, 3,047.78 and 570.97 is: 856.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.85 : 3,047.78 = 570.97 : x
  2. Step 2: Convert to fraction form
    2,031.85/3,047.78 = 570.97/x
  3. Step 3: Cross multiply
    2,031.85x = 3,047.78 × 570.97
  4. Step 4: Simplify right side
    2,031.85x = 1,740,190.95
  5. Step 5: Solve for x
    x = 1,740,190.95/2,031.85
  6. Step 6: Final answer
    x = 856.46

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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.