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Finding the Fourth Proportional to 2,661.02, 3,670.08 and 2,218.22

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Solution

The fourth proportional to 2,661.02, 3,670.08 and 2,218.22 is: 3,059.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.02 : 3,670.08 = 2,218.22 : x
  2. Step 2: Convert to fraction form
    2,661.02/3,670.08 = 2,218.22/x
  3. Step 3: Cross multiply
    2,661.02x = 3,670.08 × 2,218.22
  4. Step 4: Simplify right side
    2,661.02x = 8,141,044.86
  5. Step 5: Solve for x
    x = 8,141,044.86/2,661.02
  6. Step 6: Final answer
    x = 3,059.37

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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.