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Finding the Fourth Proportional to 22,776.42, 31,434.21 and 13,344.99

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Solution

The fourth proportional to 22,776.42, 31,434.21 and 13,344.99 is: 18,417.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,776.42 : 31,434.21 = 13,344.99 : x
  2. Step 2: Convert to fraction form
    22,776.42/31,434.21 = 13,344.99/x
  3. Step 3: Cross multiply
    22,776.42x = 31,434.21 × 13,344.99
  4. Step 4: Simplify right side
    22,776.42x = 419,489,218.11
  5. Step 5: Solve for x
    x = 419,489,218.11/22,776.42
  6. Step 6: Final answer
    x = 18,417.70

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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.