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Finding the Fourth Proportional to 13,197.20, 19,803.09 and 7,357.10

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Solution

The fourth proportional to 13,197.20, 19,803.09 and 7,357.10 is: 11,039.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.20 : 19,803.09 = 7,357.10 : x
  2. Step 2: Convert to fraction form
    13,197.20/19,803.09 = 7,357.10/x
  3. Step 3: Cross multiply
    13,197.20x = 19,803.09 × 7,357.10
  4. Step 4: Simplify right side
    13,197.20x = 145,693,214.42
  5. Step 5: Solve for x
    x = 145,693,214.42/13,197.20
  6. Step 6: Final answer
    x = 11,039.71

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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.