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Finding the Fourth Proportional to 20,487.93, 30,728.30 and 5,698

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Solution

The fourth proportional to 20,487.93, 30,728.30 and 5,698 is: 8,546.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,487.93 : 30,728.30 = 5,698 : x
  2. Step 2: Convert to fraction form
    20,487.93/30,728.30 = 5,698/x
  3. Step 3: Cross multiply
    20,487.93x = 30,728.30 × 5,698
  4. Step 4: Simplify right side
    20,487.93x = 175,089,853.40
  5. Step 5: Solve for x
    x = 175,089,853.40/20,487.93
  6. Step 6: Final answer
    x = 8,546.00

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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.