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Finding the Fourth Proportional to 2,661.84, 3,670.65 and 2,219.58

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Solution

The fourth proportional to 2,661.84, 3,670.65 and 2,219.58 is: 3,060.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.84 : 3,670.65 = 2,219.58 : x
  2. Step 2: Convert to fraction form
    2,661.84/3,670.65 = 2,219.58/x
  3. Step 3: Cross multiply
    2,661.84x = 3,670.65 × 2,219.58
  4. Step 4: Simplify right side
    2,661.84x = 8,147,301.33
  5. Step 5: Solve for x
    x = 8,147,301.33/2,661.84
  6. Step 6: Final answer
    x = 3,060.78

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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.