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Finding the Fourth Proportional to 2,774.99, 4,162.32 and 1,679.06

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Solution

The fourth proportional to 2,774.99, 4,162.32 and 1,679.06 is: 2,518.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.99 : 4,162.32 = 1,679.06 : x
  2. Step 2: Convert to fraction form
    2,774.99/4,162.32 = 1,679.06/x
  3. Step 3: Cross multiply
    2,774.99x = 4,162.32 × 1,679.06
  4. Step 4: Simplify right side
    2,774.99x = 6,988,785.02
  5. Step 5: Solve for x
    x = 6,988,785.02/2,774.99
  6. Step 6: Final answer
    x = 2,518.49

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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.