Home / 1,511.62-2,263.59-861.22

Finding the Fourth Proportional to 1,511.62, 2,263.59 and 861.22

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Solution

The fourth proportional to 1,511.62, 2,263.59 and 861.22 is: 1,289.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.62 : 2,263.59 = 861.22 : x
  2. Step 2: Convert to fraction form
    1,511.62/2,263.59 = 861.22/x
  3. Step 3: Cross multiply
    1,511.62x = 2,263.59 × 861.22
  4. Step 4: Simplify right side
    1,511.62x = 1,949,448.98
  5. Step 5: Solve for x
    x = 1,949,448.98/1,511.62
  6. Step 6: Final answer
    x = 1,289.64

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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.