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Finding the Fourth Proportional to 22,769.36, 31,421.65 and 12,697.81

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Solution

The fourth proportional to 22,769.36, 31,421.65 and 12,697.81 is: 17,522.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,769.36 : 31,421.65 = 12,697.81 : x
  2. Step 2: Convert to fraction form
    22,769.36/31,421.65 = 12,697.81/x
  3. Step 3: Cross multiply
    22,769.36x = 31,421.65 × 12,697.81
  4. Step 4: Simplify right side
    22,769.36x = 398,986,173.33
  5. Step 5: Solve for x
    x = 398,986,173.33/22,769.36
  6. Step 6: Final answer
    x = 17,522.94

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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.