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Finding the Fourth Proportional to 14,171.50, 19,556.67 and 7,883.88

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Solution

The fourth proportional to 14,171.50, 19,556.67 and 7,883.88 is: 10,879.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,171.50 : 19,556.67 = 7,883.88 : x
  2. Step 2: Convert to fraction form
    14,171.50/19,556.67 = 7,883.88/x
  3. Step 3: Cross multiply
    14,171.50x = 19,556.67 × 7,883.88
  4. Step 4: Simplify right side
    14,171.50x = 154,182,439.48
  5. Step 5: Solve for x
    x = 154,182,439.48/14,171.50
  6. Step 6: Final answer
    x = 10,879.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.