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Finding the Fourth Proportional to 9,873.70, 14,794.68 and 7,889.00

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Solution

The fourth proportional to 9,873.70, 14,794.68 and 7,889.00 is: 11,820.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.70 : 14,794.68 = 7,889.00 : x
  2. Step 2: Convert to fraction form
    9,873.70/14,794.68 = 7,889.00/x
  3. Step 3: Cross multiply
    9,873.70x = 14,794.68 × 7,889.00
  4. Step 4: Simplify right side
    9,873.70x = 116,715,119.57
  5. Step 5: Solve for x
    x = 116,715,119.57/9,873.70
  6. Step 6: Final answer
    x = 11,820.81

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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.