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Finding the Fourth Proportional to 26,907.98, 40,362 and 12,864.70

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Solution

The fourth proportional to 26,907.98, 40,362 and 12,864.70 is: 19,297.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,907.98 : 40,362 = 12,864.70 : x
  2. Step 2: Convert to fraction form
    26,907.98/40,362 = 12,864.70/x
  3. Step 3: Cross multiply
    26,907.98x = 40,362 × 12,864.70
  4. Step 4: Simplify right side
    26,907.98x = 519,245,021.40
  5. Step 5: Solve for x
    x = 519,245,021.40/26,907.98
  6. Step 6: Final answer
    x = 19,297.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.