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Finding the Fourth Proportional to 13,200.52, 19,762.14 and 6,945.80

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Solution

The fourth proportional to 13,200.52, 19,762.14 and 6,945.80 is: 10,398.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,200.52 : 19,762.14 = 6,945.80 : x
  2. Step 2: Convert to fraction form
    13,200.52/19,762.14 = 6,945.80/x
  3. Step 3: Cross multiply
    13,200.52x = 19,762.14 × 6,945.80
  4. Step 4: Simplify right side
    13,200.52x = 137,263,872.01
  5. Step 5: Solve for x
    x = 137,263,872.01/13,200.52
  6. Step 6: Final answer
    x = 10,398.37

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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.