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Finding the Fourth Proportional to 11,075.10, 16,612.65 and 8,122.65

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Solution

The fourth proportional to 11,075.10, 16,612.65 and 8,122.65 is: 12,183.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,075.10 : 16,612.65 = 8,122.65 : x
  2. Step 2: Convert to fraction form
    11,075.10/16,612.65 = 8,122.65/x
  3. Step 3: Cross multiply
    11,075.10x = 16,612.65 × 8,122.65
  4. Step 4: Simplify right side
    11,075.10x = 134,938,741.52
  5. Step 5: Solve for x
    x = 134,938,741.52/11,075.10
  6. Step 6: Final answer
    x = 12,183.98

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1.5x scale

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.