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Finding the Fourth Proportional to 31,137.78, 42,969.90 and 17,709.02

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Solution

The fourth proportional to 31,137.78, 42,969.90 and 17,709.02 is: 24,438.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,137.78 : 42,969.90 = 17,709.02 : x
  2. Step 2: Convert to fraction form
    31,137.78/42,969.90 = 17,709.02/x
  3. Step 3: Cross multiply
    31,137.78x = 42,969.90 × 17,709.02
  4. Step 4: Simplify right side
    31,137.78x = 760,954,603.65
  5. Step 5: Solve for x
    x = 760,954,603.65/31,137.78
  6. Step 6: Final answer
    x = 24,438.31

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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.