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Finding the Fourth Proportional to 19,147.68, 28,722 and 5,296.80

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Solution

The fourth proportional to 19,147.68, 28,722 and 5,296.80 is: 7,945.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,147.68 : 28,722 = 5,296.80 : x
  2. Step 2: Convert to fraction form
    19,147.68/28,722 = 5,296.80/x
  3. Step 3: Cross multiply
    19,147.68x = 28,722 × 5,296.80
  4. Step 4: Simplify right side
    19,147.68x = 152,134,689.60
  5. Step 5: Solve for x
    x = 152,134,689.60/19,147.68
  6. Step 6: Final answer
    x = 7,945.33

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1.5x scale

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.