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Finding the Fourth Proportional to 20,457.76, 30,620.64 and 10,583.44

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Solution

The fourth proportional to 20,457.76, 30,620.64 and 10,583.44 is: 15,841.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,457.76 : 30,620.64 = 10,583.44 : x
  2. Step 2: Convert to fraction form
    20,457.76/30,620.64 = 10,583.44/x
  3. Step 3: Cross multiply
    20,457.76x = 30,620.64 × 10,583.44
  4. Step 4: Simplify right side
    20,457.76x = 324,071,706.20
  5. Step 5: Solve for x
    x = 324,071,706.20/20,457.76
  6. Step 6: Final answer
    x = 15,841.02

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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.