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Finding the Fourth Proportional to 19,069, 28,570.14 and 13,229.32

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Solution

The fourth proportional to 19,069, 28,570.14 and 13,229.32 is: 19,820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,069 : 28,570.14 = 13,229.32 : x
  2. Step 2: Convert to fraction form
    19,069/28,570.14 = 13,229.32/x
  3. Step 3: Cross multiply
    19,069x = 28,570.14 × 13,229.32
  4. Step 4: Simplify right side
    19,069x = 377,963,524.50
  5. Step 5: Solve for x
    x = 377,963,524.50/19,069
  6. Step 6: Final answer
    x = 19,820.84

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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.