Home / 1,640.85-2,457.36-946.07

Finding the Fourth Proportional to 1,640.85, 2,457.36 and 946.07

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Solution

The fourth proportional to 1,640.85, 2,457.36 and 946.07 is: 1,416.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.85 : 2,457.36 = 946.07 : x
  2. Step 2: Convert to fraction form
    1,640.85/2,457.36 = 946.07/x
  3. Step 3: Cross multiply
    1,640.85x = 2,457.36 × 946.07
  4. Step 4: Simplify right side
    1,640.85x = 2,324,822.29
  5. Step 5: Solve for x
    x = 2,324,822.29/1,640.85
  6. Step 6: Final answer
    x = 1,416.84

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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.