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Finding the Fourth Proportional to 48,923, 73,384.68 and 11,987

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Solution

The fourth proportional to 48,923, 73,384.68 and 11,987 is: 17,980.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,923 : 73,384.68 = 11,987 : x
  2. Step 2: Convert to fraction form
    48,923/73,384.68 = 11,987/x
  3. Step 3: Cross multiply
    48,923x = 73,384.68 × 11,987
  4. Step 4: Simplify right side
    48,923x = 879,662,159.16
  5. Step 5: Solve for x
    x = 879,662,159.16/48,923
  6. Step 6: Final answer
    x = 17,980.54

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Why These Related Problems?

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