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Finding the Fourth Proportional to 21,673.10, 32,509.75 and 9,189.99

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Solution

The fourth proportional to 21,673.10, 32,509.75 and 9,189.99 is: 13,785.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,673.10 : 32,509.75 = 9,189.99 : x
  2. Step 2: Convert to fraction form
    21,673.10/32,509.75 = 9,189.99/x
  3. Step 3: Cross multiply
    21,673.10x = 32,509.75 × 9,189.99
  4. Step 4: Simplify right side
    21,673.10x = 298,764,277.40
  5. Step 5: Solve for x
    x = 298,764,277.40/21,673.10
  6. Step 6: Final answer
    x = 13,785.03

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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.