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Finding the Fourth Proportional to 1,511.58, 2,085.81 and 882.21

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Solution

The fourth proportional to 1,511.58, 2,085.81 and 882.21 is: 1,217.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.58 : 2,085.81 = 882.21 : x
  2. Step 2: Convert to fraction form
    1,511.58/2,085.81 = 882.21/x
  3. Step 3: Cross multiply
    1,511.58x = 2,085.81 × 882.21
  4. Step 4: Simplify right side
    1,511.58x = 1,840,122.44
  5. Step 5: Solve for x
    x = 1,840,122.44/1,511.58
  6. Step 6: Final answer
    x = 1,217.35

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1.5x scale

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.