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Finding the Fourth Proportional to 1,823.56, 2,731.80 and 955.80

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Solution

The fourth proportional to 1,823.56, 2,731.80 and 955.80 is: 1,431.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.56 : 2,731.80 = 955.80 : x
  2. Step 2: Convert to fraction form
    1,823.56/2,731.80 = 955.80/x
  3. Step 3: Cross multiply
    1,823.56x = 2,731.80 × 955.80
  4. Step 4: Simplify right side
    1,823.56x = 2,611,054.44
  5. Step 5: Solve for x
    x = 2,611,054.44/1,823.56
  6. Step 6: Final answer
    x = 1,431.84

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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.