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Finding the Fourth Proportional to 31,175.87, 46,763.80 and 11,445.89

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Solution

The fourth proportional to 31,175.87, 46,763.80 and 11,445.89 is: 17,168.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,175.87 : 46,763.80 = 11,445.89 : x
  2. Step 2: Convert to fraction form
    31,175.87/46,763.80 = 11,445.89/x
  3. Step 3: Cross multiply
    31,175.87x = 46,763.80 × 11,445.89
  4. Step 4: Simplify right side
    31,175.87x = 535,253,048.35
  5. Step 5: Solve for x
    x = 535,253,048.35/31,175.87
  6. Step 6: Final answer
    x = 17,168.83

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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.