Home / 1,406.42-2,112.67-858.93

Finding the Fourth Proportional to 1,406.42, 2,112.67 and 858.93

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Solution

The fourth proportional to 1,406.42, 2,112.67 and 858.93 is: 1,290.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.42 : 2,112.67 = 858.93 : x
  2. Step 2: Convert to fraction form
    1,406.42/2,112.67 = 858.93/x
  3. Step 3: Cross multiply
    1,406.42x = 2,112.67 × 858.93
  4. Step 4: Simplify right side
    1,406.42x = 1,814,635.64
  5. Step 5: Solve for x
    x = 1,814,635.64/1,406.42
  6. Step 6: Final answer
    x = 1,290.25

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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.