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Finding the Fourth Proportional to 2,719.64, 3,753.12 and 1,477.64

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Solution

The fourth proportional to 2,719.64, 3,753.12 and 1,477.64 is: 2,039.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.64 : 3,753.12 = 1,477.64 : x
  2. Step 2: Convert to fraction form
    2,719.64/3,753.12 = 1,477.64/x
  3. Step 3: Cross multiply
    2,719.64x = 3,753.12 × 1,477.64
  4. Step 4: Simplify right side
    2,719.64x = 5,545,760.24
  5. Step 5: Solve for x
    x = 5,545,760.24/2,719.64
  6. Step 6: Final answer
    x = 2,039.15

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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.