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Finding the Fourth Proportional to 20,317.73, 30,448.91 and 12,423

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Solution

The fourth proportional to 20,317.73, 30,448.91 and 12,423 is: 18,617.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,317.73 : 30,448.91 = 12,423 : x
  2. Step 2: Convert to fraction form
    20,317.73/30,448.91 = 12,423/x
  3. Step 3: Cross multiply
    20,317.73x = 30,448.91 × 12,423
  4. Step 4: Simplify right side
    20,317.73x = 378,266,746.82
  5. Step 5: Solve for x
    x = 378,266,746.82/20,317.73
  6. Step 6: Final answer
    x = 18,617.57

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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.