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Finding the Fourth Proportional to 19,881, 27,441.54 and 13,257

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Solution

The fourth proportional to 19,881, 27,441.54 and 13,257 is: 18,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,881 : 27,441.54 = 13,257 : x
  2. Step 2: Convert to fraction form
    19,881/27,441.54 = 13,257/x
  3. Step 3: Cross multiply
    19,881x = 27,441.54 × 13,257
  4. Step 4: Simplify right side
    19,881x = 363,792,495.78
  5. Step 5: Solve for x
    x = 363,792,495.78/19,881
  6. Step 6: Final answer
    x = 18,298.50

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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.