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Finding the Fourth Proportional to 36,014.40, 53,978.40 and 18,475.20

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Solution

The fourth proportional to 36,014.40, 53,978.40 and 18,475.20 is: 27,690.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,014.40 : 53,978.40 = 18,475.20 : x
  2. Step 2: Convert to fraction form
    36,014.40/53,978.40 = 18,475.20/x
  3. Step 3: Cross multiply
    36,014.40x = 53,978.40 × 18,475.20
  4. Step 4: Simplify right side
    36,014.40x = 997,261,735.68
  5. Step 5: Solve for x
    x = 997,261,735.68/36,014.40
  6. Step 6: Final answer
    x = 27,690.64

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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.