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Finding the Fourth Proportional to 19,788, 27,307.44 and 12,336

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Solution

The fourth proportional to 19,788, 27,307.44 and 12,336 is: 17,023.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,788 : 27,307.44 = 12,336 : x
  2. Step 2: Convert to fraction form
    19,788/27,307.44 = 12,336/x
  3. Step 3: Cross multiply
    19,788x = 27,307.44 × 12,336
  4. Step 4: Simplify right side
    19,788x = 336,864,579.84
  5. Step 5: Solve for x
    x = 336,864,579.84/19,788
  6. Step 6: Final answer
    x = 17,023.68

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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.