Home / 2,904-4,007.42-1,577.68

Finding the Fourth Proportional to 2,904, 4,007.42 and 1,577.68

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Solution

The fourth proportional to 2,904, 4,007.42 and 1,577.68 is: 2,177.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904 : 4,007.42 = 1,577.68 : x
  2. Step 2: Convert to fraction form
    2,904/4,007.42 = 1,577.68/x
  3. Step 3: Cross multiply
    2,904x = 4,007.42 × 1,577.68
  4. Step 4: Simplify right side
    2,904x = 6,322,426.39
  5. Step 5: Solve for x
    x = 6,322,426.39/2,904
  6. Step 6: Final answer
    x = 2,177.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.