Home / 2,106.58-3,157.85-1,009.84

Finding the Fourth Proportional to 2,106.58, 3,157.85 and 1,009.84

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Solution

The fourth proportional to 2,106.58, 3,157.85 and 1,009.84 is: 1,513.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.58 : 3,157.85 = 1,009.84 : x
  2. Step 2: Convert to fraction form
    2,106.58/3,157.85 = 1,009.84/x
  3. Step 3: Cross multiply
    2,106.58x = 3,157.85 × 1,009.84
  4. Step 4: Simplify right side
    2,106.58x = 3,188,931.14
  5. Step 5: Solve for x
    x = 3,188,931.14/2,106.58
  6. Step 6: Final answer
    x = 1,513.79

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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.