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Finding the Fourth Proportional to 15,997, 22,075.88 and 8,923.87

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Solution

The fourth proportional to 15,997, 22,075.88 and 8,923.87 is: 12,314.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,997 : 22,075.88 = 8,923.87 : x
  2. Step 2: Convert to fraction form
    15,997/22,075.88 = 8,923.87/x
  3. Step 3: Cross multiply
    15,997x = 22,075.88 × 8,923.87
  4. Step 4: Simplify right side
    15,997x = 197,002,283.26
  5. Step 5: Solve for x
    x = 197,002,283.26/15,997
  6. Step 6: Final answer
    x = 12,314.95

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1.5x scale

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.