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Finding the Fourth Proportional to 22,782.63, 31,440.06 and 13,351.19

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Solution

The fourth proportional to 22,782.63, 31,440.06 and 13,351.19 is: 18,424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,782.63 : 31,440.06 = 13,351.19 : x
  2. Step 2: Convert to fraction form
    22,782.63/31,440.06 = 13,351.19/x
  3. Step 3: Cross multiply
    22,782.63x = 31,440.06 × 13,351.19
  4. Step 4: Simplify right side
    22,782.63x = 419,762,214.67
  5. Step 5: Solve for x
    x = 419,762,214.67/22,782.63
  6. Step 6: Final answer
    x = 18,424.66

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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.