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Finding the Fourth Proportional to 20,647.84, 30,971.90 and 5,065.46

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Solution

The fourth proportional to 20,647.84, 30,971.90 and 5,065.46 is: 7,598.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,647.84 : 30,971.90 = 5,065.46 : x
  2. Step 2: Convert to fraction form
    20,647.84/30,971.90 = 5,065.46/x
  3. Step 3: Cross multiply
    20,647.84x = 30,971.90 × 5,065.46
  4. Step 4: Simplify right side
    20,647.84x = 156,886,920.57
  5. Step 5: Solve for x
    x = 156,886,920.57/20,647.84
  6. Step 6: Final answer
    x = 7,598.22

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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.