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Finding the Fourth Proportional to 2,894.86, 3,994.98 and 1,775.16

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Solution

The fourth proportional to 2,894.86, 3,994.98 and 1,775.16 is: 2,449.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.86 : 3,994.98 = 1,775.16 : x
  2. Step 2: Convert to fraction form
    2,894.86/3,994.98 = 1,775.16/x
  3. Step 3: Cross multiply
    2,894.86x = 3,994.98 × 1,775.16
  4. Step 4: Simplify right side
    2,894.86x = 7,091,708.72
  5. Step 5: Solve for x
    x = 7,091,708.72/2,894.86
  6. Step 6: Final answer
    x = 2,449.76

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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.