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Finding the Fourth Proportional to 1,409.22, 2,112.22 and 860.18

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Solution

The fourth proportional to 1,409.22, 2,112.22 and 860.18 is: 1,289.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.22 : 2,112.22 = 860.18 : x
  2. Step 2: Convert to fraction form
    1,409.22/2,112.22 = 860.18/x
  3. Step 3: Cross multiply
    1,409.22x = 2,112.22 × 860.18
  4. Step 4: Simplify right side
    1,409.22x = 1,816,889.40
  5. Step 5: Solve for x
    x = 1,816,889.40/1,409.22
  6. Step 6: Final answer
    x = 1,289.29

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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.