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Finding the Fourth Proportional to 20,830, 28,745.40 and 11,398.57

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Solution

The fourth proportional to 20,830, 28,745.40 and 11,398.57 is: 15,730.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,830 : 28,745.40 = 11,398.57 : x
  2. Step 2: Convert to fraction form
    20,830/28,745.40 = 11,398.57/x
  3. Step 3: Cross multiply
    20,830x = 28,745.40 × 11,398.57
  4. Step 4: Simplify right side
    20,830x = 327,656,454.08
  5. Step 5: Solve for x
    x = 327,656,454.08/20,830
  6. Step 6: Final answer
    x = 15,730.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.