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Finding the Fourth Proportional to 15,826, 21,837.99 and 8,751.46

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Solution

The fourth proportional to 15,826, 21,837.99 and 8,751.46 is: 12,075.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,826 : 21,837.99 = 8,751.46 : x
  2. Step 2: Convert to fraction form
    15,826/21,837.99 = 8,751.46/x
  3. Step 3: Cross multiply
    15,826x = 21,837.99 × 8,751.46
  4. Step 4: Simplify right side
    15,826x = 191,114,295.97
  5. Step 5: Solve for x
    x = 191,114,295.97/15,826
  6. Step 6: Final answer
    x = 12,075.97

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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.