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Finding the Fourth Proportional to 43,509.41, 65,272.28 and 13,919.30

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Solution

The fourth proportional to 43,509.41, 65,272.28 and 13,919.30 is: 20,881.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,509.41 : 65,272.28 = 13,919.30 : x
  2. Step 2: Convert to fraction form
    43,509.41/65,272.28 = 13,919.30/x
  3. Step 3: Cross multiply
    43,509.41x = 65,272.28 × 13,919.30
  4. Step 4: Simplify right side
    43,509.41x = 908,544,051.05
  5. Step 5: Solve for x
    x = 908,544,051.05/43,509.41
  6. Step 6: Final answer
    x = 20,881.56

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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.