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Finding the Fourth Proportional to 12,904, 19,364.64 and 4,696

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Solution

The fourth proportional to 12,904, 19,364.64 and 4,696 is: 7,047.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904 : 19,364.64 = 4,696 : x
  2. Step 2: Convert to fraction form
    12,904/19,364.64 = 4,696/x
  3. Step 3: Cross multiply
    12,904x = 19,364.64 × 4,696
  4. Step 4: Simplify right side
    12,904x = 90,936,349.44
  5. Step 5: Solve for x
    x = 90,936,349.44/12,904
  6. Step 6: Final answer
    x = 7,047.14

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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.