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Finding the Fourth Proportional to 20,580.84, 30,871 and 4,998.44

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Solution

The fourth proportional to 20,580.84, 30,871 and 4,998.44 is: 7,497.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,580.84 : 30,871 = 4,998.44 : x
  2. Step 2: Convert to fraction form
    20,580.84/30,871 = 4,998.44/x
  3. Step 3: Cross multiply
    20,580.84x = 30,871 × 4,998.44
  4. Step 4: Simplify right side
    20,580.84x = 154,306,841.24
  5. Step 5: Solve for x
    x = 154,306,841.24/20,580.84
  6. Step 6: Final answer
    x = 7,497.60

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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.