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Finding the Fourth Proportional to 13,763.74, 20,652.90 and 5,978.02

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Solution

The fourth proportional to 13,763.74, 20,652.90 and 5,978.02 is: 8,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,763.74 : 20,652.90 = 5,978.02 : x
  2. Step 2: Convert to fraction form
    13,763.74/20,652.90 = 5,978.02/x
  3. Step 3: Cross multiply
    13,763.74x = 20,652.90 × 5,978.02
  4. Step 4: Simplify right side
    13,763.74x = 123,463,449.26
  5. Step 5: Solve for x
    x = 123,463,449.26/13,763.74
  6. Step 6: Final answer
    x = 8,970.20

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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.