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Finding the Fourth Proportional to 4,406, 6,080 and 2,637.64

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Solution

The fourth proportional to 4,406, 6,080 and 2,637.64 is: 3,639.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,406 : 6,080 = 2,637.64 : x
  2. Step 2: Convert to fraction form
    4,406/6,080 = 2,637.64/x
  3. Step 3: Cross multiply
    4,406x = 6,080 × 2,637.64
  4. Step 4: Simplify right side
    4,406x = 16,036,851.20
  5. Step 5: Solve for x
    x = 16,036,851.20/4,406
  6. Step 6: Final answer
    x = 3,639.78

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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.