Home / 3,646.80-5,474.16-1,457.04

Finding the Fourth Proportional to 3,646.80, 5,474.16 and 1,457.04

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Solution

The fourth proportional to 3,646.80, 5,474.16 and 1,457.04 is: 2,187.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.80 : 5,474.16 = 1,457.04 : x
  2. Step 2: Convert to fraction form
    3,646.80/5,474.16 = 1,457.04/x
  3. Step 3: Cross multiply
    3,646.80x = 5,474.16 × 1,457.04
  4. Step 4: Simplify right side
    3,646.80x = 7,976,070.09
  5. Step 5: Solve for x
    x = 7,976,070.09/3,646.80
  6. Step 6: Final answer
    x = 2,187.14

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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.