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Finding the Fourth Proportional to 43,974.78, 65,971.41 and 14,390.31

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Solution

The fourth proportional to 43,974.78, 65,971.41 and 14,390.31 is: 21,588.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,974.78 : 65,971.41 = 14,390.31 : x
  2. Step 2: Convert to fraction form
    43,974.78/65,971.41 = 14,390.31/x
  3. Step 3: Cross multiply
    43,974.78x = 65,971.41 × 14,390.31
  4. Step 4: Simplify right side
    43,974.78x = 949,349,041.04
  5. Step 5: Solve for x
    x = 949,349,041.04/43,974.78
  6. Step 6: Final answer
    x = 21,588.49

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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.