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Finding the Fourth Proportional to 2,611.95, 3,917.48 and 857.00

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Solution

The fourth proportional to 2,611.95, 3,917.48 and 857.00 is: 1,285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.95 : 3,917.48 = 857.00 : x
  2. Step 2: Convert to fraction form
    2,611.95/3,917.48 = 857.00/x
  3. Step 3: Cross multiply
    2,611.95x = 3,917.48 × 857.00
  4. Step 4: Simplify right side
    2,611.95x = 3,357,256.49
  5. Step 5: Solve for x
    x = 3,357,256.49/2,611.95
  6. Step 6: Final answer
    x = 1,285.34

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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.