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Finding the Fourth Proportional to 2,023.61, 3,035.63 and 636.98

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Solution

The fourth proportional to 2,023.61, 3,035.63 and 636.98 is: 955.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.61 : 3,035.63 = 636.98 : x
  2. Step 2: Convert to fraction form
    2,023.61/3,035.63 = 636.98/x
  3. Step 3: Cross multiply
    2,023.61x = 3,035.63 × 636.98
  4. Step 4: Simplify right side
    2,023.61x = 1,933,640.00
  5. Step 5: Solve for x
    x = 1,933,640.00/2,023.61
  6. Step 6: Final answer
    x = 955.54

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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.