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Finding the Fourth Proportional to 3,145.71, 4,719.23 and 1,065.61

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Solution

The fourth proportional to 3,145.71, 4,719.23 and 1,065.61 is: 1,598.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.71 : 4,719.23 = 1,065.61 : x
  2. Step 2: Convert to fraction form
    3,145.71/4,719.23 = 1,065.61/x
  3. Step 3: Cross multiply
    3,145.71x = 4,719.23 × 1,065.61
  4. Step 4: Simplify right side
    3,145.71x = 5,028,858.68
  5. Step 5: Solve for x
    x = 5,028,858.68/3,145.71
  6. Step 6: Final answer
    x = 1,598.64

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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.