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Finding the Fourth Proportional to 22,698.38, 31,326.51 and 13,745.63

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Solution

The fourth proportional to 22,698.38, 31,326.51 and 13,745.63 is: 18,970.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,698.38 : 31,326.51 = 13,745.63 : x
  2. Step 2: Convert to fraction form
    22,698.38/31,326.51 = 13,745.63/x
  3. Step 3: Cross multiply
    22,698.38x = 31,326.51 × 13,745.63
  4. Step 4: Simplify right side
    22,698.38x = 430,602,615.65
  5. Step 5: Solve for x
    x = 430,602,615.65/22,698.38
  6. Step 6: Final answer
    x = 18,970.63

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Why These Related Problems?

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