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Finding the Fourth Proportional to 19,147.50, 28,722.87 and 5,296.50

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Solution

The fourth proportional to 19,147.50, 28,722.87 and 5,296.50 is: 7,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,147.50 : 28,722.87 = 5,296.50 : x
  2. Step 2: Convert to fraction form
    19,147.50/28,722.87 = 5,296.50/x
  3. Step 3: Cross multiply
    19,147.50x = 28,722.87 × 5,296.50
  4. Step 4: Simplify right side
    19,147.50x = 152,130,680.96
  5. Step 5: Solve for x
    x = 152,130,680.96/19,147.50
  6. Step 6: Final answer
    x = 7,945.20

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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.