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Finding the Fourth Proportional to 1,811.64, 2,702.23 and 1,645.54

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Solution

The fourth proportional to 1,811.64, 2,702.23 and 1,645.54 is: 2,454.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.64 : 2,702.23 = 1,645.54 : x
  2. Step 2: Convert to fraction form
    1,811.64/2,702.23 = 1,645.54/x
  3. Step 3: Cross multiply
    1,811.64x = 2,702.23 × 1,645.54
  4. Step 4: Simplify right side
    1,811.64x = 4,446,631.67
  5. Step 5: Solve for x
    x = 4,446,631.67/1,811.64
  6. Step 6: Final answer
    x = 2,454.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.