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Finding the Fourth Proportional to 2,008.55, 3,012.91 and 547.70

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Solution

The fourth proportional to 2,008.55, 3,012.91 and 547.70 is: 821.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.55 : 3,012.91 = 547.70 : x
  2. Step 2: Convert to fraction form
    2,008.55/3,012.91 = 547.70/x
  3. Step 3: Cross multiply
    2,008.55x = 3,012.91 × 547.70
  4. Step 4: Simplify right side
    2,008.55x = 1,650,170.81
  5. Step 5: Solve for x
    x = 1,650,170.81/2,008.55
  6. Step 6: Final answer
    x = 821.57

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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.