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Finding the Fourth Proportional to 17,145, 23,643.86 and 11,181.24

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Solution

The fourth proportional to 17,145, 23,643.86 and 11,181.24 is: 15,419.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,145 : 23,643.86 = 11,181.24 : x
  2. Step 2: Convert to fraction form
    17,145/23,643.86 = 11,181.24/x
  3. Step 3: Cross multiply
    17,145x = 23,643.86 × 11,181.24
  4. Step 4: Simplify right side
    17,145x = 264,367,673.19
  5. Step 5: Solve for x
    x = 264,367,673.19/17,145
  6. Step 6: Final answer
    x = 15,419.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.