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Finding the Fourth Proportional to 22,911.99, 31,618.92 and 12,842.67

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Solution

The fourth proportional to 22,911.99, 31,618.92 and 12,842.67 is: 17,723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,911.99 : 31,618.92 = 12,842.67 : x
  2. Step 2: Convert to fraction form
    22,911.99/31,618.92 = 12,842.67/x
  3. Step 3: Cross multiply
    22,911.99x = 31,618.92 × 12,842.67
  4. Step 4: Simplify right side
    22,911.99x = 406,071,522.05
  5. Step 5: Solve for x
    x = 406,071,522.05/22,911.99
  6. Step 6: Final answer
    x = 17,723.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.