Home / 3,923.87-5,882.09-1,457.02

Finding the Fourth Proportional to 3,923.87, 5,882.09 and 1,457.02

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Solution

The fourth proportional to 3,923.87, 5,882.09 and 1,457.02 is: 2,184.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.87 : 5,882.09 = 1,457.02 : x
  2. Step 2: Convert to fraction form
    3,923.87/5,882.09 = 1,457.02/x
  3. Step 3: Cross multiply
    3,923.87x = 5,882.09 × 1,457.02
  4. Step 4: Simplify right side
    3,923.87x = 8,570,322.77
  5. Step 5: Solve for x
    x = 8,570,322.77/3,923.87
  6. Step 6: Final answer
    x = 2,184.15

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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.