Home / 20,147.02-27,802.47-11,194

Finding the Fourth Proportional to 20,147.02, 27,802.47 and 11,194

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Solution

The fourth proportional to 20,147.02, 27,802.47 and 11,194 is: 15,447.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.02 : 27,802.47 = 11,194 : x
  2. Step 2: Convert to fraction form
    20,147.02/27,802.47 = 11,194/x
  3. Step 3: Cross multiply
    20,147.02x = 27,802.47 × 11,194
  4. Step 4: Simplify right side
    20,147.02x = 311,220,849.18
  5. Step 5: Solve for x
    x = 311,220,849.18/20,147.02
  6. Step 6: Final answer
    x = 15,447.49

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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.