Home / 2,004.32-3,009-1,457.12

Finding the Fourth Proportional to 2,004.32, 3,009 and 1,457.12

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Solution

The fourth proportional to 2,004.32, 3,009 and 1,457.12 is: 2,187.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.32 : 3,009 = 1,457.12 : x
  2. Step 2: Convert to fraction form
    2,004.32/3,009 = 1,457.12/x
  3. Step 3: Cross multiply
    2,004.32x = 3,009 × 1,457.12
  4. Step 4: Simplify right side
    2,004.32x = 4,384,474.08
  5. Step 5: Solve for x
    x = 4,384,474.08/2,004.32
  6. Step 6: Final answer
    x = 2,187.51

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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.