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Finding the Fourth Proportional to 19,496.40, 29,273.40 and 13,678.80

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Solution

The fourth proportional to 19,496.40, 29,273.40 and 13,678.80 is: 20,538.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,496.40 : 29,273.40 = 13,678.80 : x
  2. Step 2: Convert to fraction form
    19,496.40/29,273.40 = 13,678.80/x
  3. Step 3: Cross multiply
    19,496.40x = 29,273.40 × 13,678.80
  4. Step 4: Simplify right side
    19,496.40x = 400,424,983.92
  5. Step 5: Solve for x
    x = 400,424,983.92/19,496.40
  6. Step 6: Final answer
    x = 20,538.41

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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.