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Finding the Fourth Proportional to 20,758.54, 31,137.93 and 17,095.66

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Solution

The fourth proportional to 20,758.54, 31,137.93 and 17,095.66 is: 25,643.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,758.54 : 31,137.93 = 17,095.66 : x
  2. Step 2: Convert to fraction form
    20,758.54/31,137.93 = 17,095.66/x
  3. Step 3: Cross multiply
    20,758.54x = 31,137.93 × 17,095.66
  4. Step 4: Simplify right side
    20,758.54x = 532,323,464.38
  5. Step 5: Solve for x
    x = 532,323,464.38/20,758.54
  6. Step 6: Final answer
    x = 25,643.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.