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Finding the Fourth Proportional to 2,855.86, 3,942.06 and 1,677.28

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Solution

The fourth proportional to 2,855.86, 3,942.06 and 1,677.28 is: 2,315.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.86 : 3,942.06 = 1,677.28 : x
  2. Step 2: Convert to fraction form
    2,855.86/3,942.06 = 1,677.28/x
  3. Step 3: Cross multiply
    2,855.86x = 3,942.06 × 1,677.28
  4. Step 4: Simplify right side
    2,855.86x = 6,611,938.40
  5. Step 5: Solve for x
    x = 6,611,938.40/2,855.86
  6. Step 6: Final answer
    x = 2,315.22

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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.