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Finding the Fourth Proportional to 22,653.74, 31,265.86 and 13,222.28

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Solution

The fourth proportional to 22,653.74, 31,265.86 and 13,222.28 is: 18,248.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,653.74 : 31,265.86 = 13,222.28 : x
  2. Step 2: Convert to fraction form
    22,653.74/31,265.86 = 13,222.28/x
  3. Step 3: Cross multiply
    22,653.74x = 31,265.86 × 13,222.28
  4. Step 4: Simplify right side
    22,653.74x = 413,405,955.36
  5. Step 5: Solve for x
    x = 413,405,955.36/22,653.74
  6. Step 6: Final answer
    x = 18,248.91

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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.