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Finding the Fourth Proportional to 2,106.08, 2,907 and 1,222.08

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Solution

The fourth proportional to 2,106.08, 2,907 and 1,222.08 is: 1,686.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.08 : 2,907 = 1,222.08 : x
  2. Step 2: Convert to fraction form
    2,106.08/2,907 = 1,222.08/x
  3. Step 3: Cross multiply
    2,106.08x = 2,907 × 1,222.08
  4. Step 4: Simplify right side
    2,106.08x = 3,552,586.56
  5. Step 5: Solve for x
    x = 3,552,586.56/2,106.08
  6. Step 6: Final answer
    x = 1,686.82

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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.