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Finding the Fourth Proportional to 2,023.65, 3,035.43 and 636.93

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Solution

The fourth proportional to 2,023.65, 3,035.43 and 636.93 is: 955.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.65 : 3,035.43 = 636.93 : x
  2. Step 2: Convert to fraction form
    2,023.65/3,035.43 = 636.93/x
  3. Step 3: Cross multiply
    2,023.65x = 3,035.43 × 636.93
  4. Step 4: Simplify right side
    2,023.65x = 1,933,356.43
  5. Step 5: Solve for x
    x = 1,933,356.43/2,023.65
  6. Step 6: Final answer
    x = 955.38

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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.