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Finding the Fourth Proportional to 20,810.80, 31,177.80 and 19,428.40

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Solution

The fourth proportional to 20,810.80, 31,177.80 and 19,428.40 is: 29,106.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,810.80 : 31,177.80 = 19,428.40 : x
  2. Step 2: Convert to fraction form
    20,810.80/31,177.80 = 19,428.40/x
  3. Step 3: Cross multiply
    20,810.80x = 31,177.80 × 19,428.40
  4. Step 4: Simplify right side
    20,810.80x = 605,734,769.52
  5. Step 5: Solve for x
    x = 605,734,769.52/20,810.80
  6. Step 6: Final answer
    x = 29,106.75

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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.