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Finding the Fourth Proportional to 20,045.76, 30,067.74 and 6,898.20

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Solution

The fourth proportional to 20,045.76, 30,067.74 and 6,898.20 is: 10,346.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,045.76 : 30,067.74 = 6,898.20 : x
  2. Step 2: Convert to fraction form
    20,045.76/30,067.74 = 6,898.20/x
  3. Step 3: Cross multiply
    20,045.76x = 30,067.74 × 6,898.20
  4. Step 4: Simplify right side
    20,045.76x = 207,413,284.07
  5. Step 5: Solve for x
    x = 207,413,284.07/20,045.76
  6. Step 6: Final answer
    x = 10,346.99

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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.