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Finding the Fourth Proportional to 20,428.41, 30,643.62 and 5,637

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Solution

The fourth proportional to 20,428.41, 30,643.62 and 5,637 is: 8,455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,428.41 : 30,643.62 = 5,637 : x
  2. Step 2: Convert to fraction form
    20,428.41/30,643.62 = 5,637/x
  3. Step 3: Cross multiply
    20,428.41x = 30,643.62 × 5,637
  4. Step 4: Simplify right side
    20,428.41x = 172,738,085.94
  5. Step 5: Solve for x
    x = 172,738,085.94/20,428.41
  6. Step 6: Final answer
    x = 8,455.78

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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.