Home / 1,284.30-1,771.70-1,106.96

Finding the Fourth Proportional to 1,284.30, 1,771.70 and 1,106.96

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Solution

The fourth proportional to 1,284.30, 1,771.70 and 1,106.96 is: 1,527.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.30 : 1,771.70 = 1,106.96 : x
  2. Step 2: Convert to fraction form
    1,284.30/1,771.70 = 1,106.96/x
  3. Step 3: Cross multiply
    1,284.30x = 1,771.70 × 1,106.96
  4. Step 4: Simplify right side
    1,284.30x = 1,961,186.64
  5. Step 5: Solve for x
    x = 1,961,186.64/1,284.30
  6. Step 6: Final answer
    x = 1,527.05

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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.