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Finding the Fourth Proportional to 43,978.50, 65,967.75 and 11,146.50

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Solution

The fourth proportional to 43,978.50, 65,967.75 and 11,146.50 is: 16,719.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,978.50 : 65,967.75 = 11,146.50 : x
  2. Step 2: Convert to fraction form
    43,978.50/65,967.75 = 11,146.50/x
  3. Step 3: Cross multiply
    43,978.50x = 65,967.75 × 11,146.50
  4. Step 4: Simplify right side
    43,978.50x = 735,309,525.38
  5. Step 5: Solve for x
    x = 735,309,525.38/43,978.50
  6. Step 6: Final answer
    x = 16,719.75

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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.