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Finding the Fourth Proportional to 20,460.16, 30,649.92 and 19,020.16

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Solution

The fourth proportional to 20,460.16, 30,649.92 and 19,020.16 is: 28,492.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,460.16 : 30,649.92 = 19,020.16 : x
  2. Step 2: Convert to fraction form
    20,460.16/30,649.92 = 19,020.16/x
  3. Step 3: Cross multiply
    20,460.16x = 30,649.92 × 19,020.16
  4. Step 4: Simplify right side
    20,460.16x = 582,966,382.39
  5. Step 5: Solve for x
    x = 582,966,382.39/20,460.16
  6. Step 6: Final answer
    x = 28,492.76

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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.