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Finding the Fourth Proportional to 20,491.88, 30,719.27 and 7,341.32

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Solution

The fourth proportional to 20,491.88, 30,719.27 and 7,341.32 is: 11,005.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,491.88 : 30,719.27 = 7,341.32 : x
  2. Step 2: Convert to fraction form
    20,491.88/30,719.27 = 7,341.32/x
  3. Step 3: Cross multiply
    20,491.88x = 30,719.27 × 7,341.32
  4. Step 4: Simplify right side
    20,491.88x = 225,519,800.93
  5. Step 5: Solve for x
    x = 225,519,800.93/20,491.88
  6. Step 6: Final answer
    x = 11,005.33

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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.