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Finding the Fourth Proportional to 43,955.42, 65,978.91 and 21,784.68

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Solution

The fourth proportional to 43,955.42, 65,978.91 and 21,784.68 is: 32,699.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,955.42 : 65,978.91 = 21,784.68 : x
  2. Step 2: Convert to fraction form
    43,955.42/65,978.91 = 21,784.68/x
  3. Step 3: Cross multiply
    43,955.42x = 65,978.91 × 21,784.68
  4. Step 4: Simplify right side
    43,955.42x = 1,437,329,441.10
  5. Step 5: Solve for x
    x = 1,437,329,441.10/43,955.42
  6. Step 6: Final answer
    x = 32,699.71

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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.