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Finding the Fourth Proportional to 2,765.97, 3,815.70 and 1,646.55

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Solution

The fourth proportional to 2,765.97, 3,815.70 and 1,646.55 is: 2,271.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.97 : 3,815.70 = 1,646.55 : x
  2. Step 2: Convert to fraction form
    2,765.97/3,815.70 = 1,646.55/x
  3. Step 3: Cross multiply
    2,765.97x = 3,815.70 × 1,646.55
  4. Step 4: Simplify right side
    2,765.97x = 6,282,740.84
  5. Step 5: Solve for x
    x = 6,282,740.84/2,765.97
  6. Step 6: Final answer
    x = 2,271.44

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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.