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Finding the Fourth Proportional to 2,678.97, 3,698.13 and 2,015.98

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Solution

The fourth proportional to 2,678.97, 3,698.13 and 2,015.98 is: 2,782.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.97 : 3,698.13 = 2,015.98 : x
  2. Step 2: Convert to fraction form
    2,678.97/3,698.13 = 2,015.98/x
  3. Step 3: Cross multiply
    2,678.97x = 3,698.13 × 2,015.98
  4. Step 4: Simplify right side
    2,678.97x = 7,455,356.12
  5. Step 5: Solve for x
    x = 7,455,356.12/2,678.97
  6. Step 6: Final answer
    x = 2,782.92

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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.