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Finding the Fourth Proportional to 19,718, 27,210.84 and 10,886

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Solution

The fourth proportional to 19,718, 27,210.84 and 10,886 is: 15,022.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,718 : 27,210.84 = 10,886 : x
  2. Step 2: Convert to fraction form
    19,718/27,210.84 = 10,886/x
  3. Step 3: Cross multiply
    19,718x = 27,210.84 × 10,886
  4. Step 4: Simplify right side
    19,718x = 296,217,204.24
  5. Step 5: Solve for x
    x = 296,217,204.24/19,718
  6. Step 6: Final answer
    x = 15,022.68

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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.