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Finding the Fourth Proportional to 8,748, 12,072.78 and 5,022

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Solution

The fourth proportional to 8,748, 12,072.78 and 5,022 is: 6,930.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,748 : 12,072.78 = 5,022 : x
  2. Step 2: Convert to fraction form
    8,748/12,072.78 = 5,022/x
  3. Step 3: Cross multiply
    8,748x = 12,072.78 × 5,022
  4. Step 4: Simplify right side
    8,748x = 60,629,501.16
  5. Step 5: Solve for x
    x = 60,629,501.16/8,748
  6. Step 6: Final answer
    x = 6,930.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.