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Finding the Fourth Proportional to 20,658, 31,099.40 and 18,820.92

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Solution

The fourth proportional to 20,658, 31,099.40 and 18,820.92 is: 28,333.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,658 : 31,099.40 = 18,820.92 : x
  2. Step 2: Convert to fraction form
    20,658/31,099.40 = 18,820.92/x
  3. Step 3: Cross multiply
    20,658x = 31,099.40 × 18,820.92
  4. Step 4: Simplify right side
    20,658x = 585,319,319.45
  5. Step 5: Solve for x
    x = 585,319,319.45/20,658
  6. Step 6: Final answer
    x = 28,333.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.