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Finding the Fourth Proportional to 19,481, 26,883.78 and 10,649

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Solution

The fourth proportional to 19,481, 26,883.78 and 10,649 is: 14,695.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,481 : 26,883.78 = 10,649 : x
  2. Step 2: Convert to fraction form
    19,481/26,883.78 = 10,649/x
  3. Step 3: Cross multiply
    19,481x = 26,883.78 × 10,649
  4. Step 4: Simplify right side
    19,481x = 286,285,373.22
  5. Step 5: Solve for x
    x = 286,285,373.22/19,481
  6. Step 6: Final answer
    x = 14,695.62

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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.