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Finding the Fourth Proportional to 2,003.24, 3,005.08 and 542.56

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Solution

The fourth proportional to 2,003.24, 3,005.08 and 542.56 is: 813.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.24 : 3,005.08 = 542.56 : x
  2. Step 2: Convert to fraction form
    2,003.24/3,005.08 = 542.56/x
  3. Step 3: Cross multiply
    2,003.24x = 3,005.08 × 542.56
  4. Step 4: Simplify right side
    2,003.24x = 1,630,436.20
  5. Step 5: Solve for x
    x = 1,630,436.20/2,003.24
  6. Step 6: Final answer
    x = 813.90

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1.5x scale

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.