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Finding the Fourth Proportional to 2,003.56, 3,005.53 and 542.72

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Solution

The fourth proportional to 2,003.56, 3,005.53 and 542.72 is: 814.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.56 : 3,005.53 = 542.72 : x
  2. Step 2: Convert to fraction form
    2,003.56/3,005.53 = 542.72/x
  3. Step 3: Cross multiply
    2,003.56x = 3,005.53 × 542.72
  4. Step 4: Simplify right side
    2,003.56x = 1,631,161.24
  5. Step 5: Solve for x
    x = 1,631,161.24/2,003.56
  6. Step 6: Final answer
    x = 814.13

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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.