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Finding the Fourth Proportional to 21,859, 30,154.62 and 13,789

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Solution

The fourth proportional to 21,859, 30,154.62 and 13,789 is: 19,022.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,859 : 30,154.62 = 13,789 : x
  2. Step 2: Convert to fraction form
    21,859/30,154.62 = 13,789/x
  3. Step 3: Cross multiply
    21,859x = 30,154.62 × 13,789
  4. Step 4: Simplify right side
    21,859x = 415,802,055.18
  5. Step 5: Solve for x
    x = 415,802,055.18/21,859
  6. Step 6: Final answer
    x = 19,022.01

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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.