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Finding the Fourth Proportional to 19,133.60, 28,697.84 and 6,820

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Solution

The fourth proportional to 19,133.60, 28,697.84 and 6,820 is: 10,229.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,133.60 : 28,697.84 = 6,820 : x
  2. Step 2: Convert to fraction form
    19,133.60/28,697.84 = 6,820/x
  3. Step 3: Cross multiply
    19,133.60x = 28,697.84 × 6,820
  4. Step 4: Simplify right side
    19,133.60x = 195,719,268.80
  5. Step 5: Solve for x
    x = 195,719,268.80/19,133.60
  6. Step 6: Final answer
    x = 10,229.09

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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.