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Finding the Fourth Proportional to 13,640, 18,819.96 and 7,670.48

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Solution

The fourth proportional to 13,640, 18,819.96 and 7,670.48 is: 10,583.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640 : 18,819.96 = 7,670.48 : x
  2. Step 2: Convert to fraction form
    13,640/18,819.96 = 7,670.48/x
  3. Step 3: Cross multiply
    13,640x = 18,819.96 × 7,670.48
  4. Step 4: Simplify right side
    13,640x = 144,358,126.78
  5. Step 5: Solve for x
    x = 144,358,126.78/13,640
  6. Step 6: Final answer
    x = 10,583.44

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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.