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Finding the Fourth Proportional to 12,640, 17,443.20 and 7,051

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Solution

The fourth proportional to 12,640, 17,443.20 and 7,051 is: 9,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,640 : 17,443.20 = 7,051 : x
  2. Step 2: Convert to fraction form
    12,640/17,443.20 = 7,051/x
  3. Step 3: Cross multiply
    12,640x = 17,443.20 × 7,051
  4. Step 4: Simplify right side
    12,640x = 122,992,003.20
  5. Step 5: Solve for x
    x = 122,992,003.20/12,640
  6. Step 6: Final answer
    x = 9,730.38

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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.