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Finding the Fourth Proportional to 12,640, 18,965.04 and 6,396.64

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Solution

The fourth proportional to 12,640, 18,965.04 and 6,396.64 is: 9,597.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,640 : 18,965.04 = 6,396.64 : x
  2. Step 2: Convert to fraction form
    12,640/18,965.04 = 6,396.64/x
  3. Step 3: Cross multiply
    12,640x = 18,965.04 × 6,396.64
  4. Step 4: Simplify right side
    12,640x = 121,312,533.47
  5. Step 5: Solve for x
    x = 121,312,533.47/12,640
  6. Step 6: Final answer
    x = 9,597.51

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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.