Home / 2,004.78-3,007.16-1,312.03

Finding the Fourth Proportional to 2,004.78, 3,007.16 and 1,312.03

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Solution

The fourth proportional to 2,004.78, 3,007.16 and 1,312.03 is: 1,968.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.78 : 3,007.16 = 1,312.03 : x
  2. Step 2: Convert to fraction form
    2,004.78/3,007.16 = 1,312.03/x
  3. Step 3: Cross multiply
    2,004.78x = 3,007.16 × 1,312.03
  4. Step 4: Simplify right side
    2,004.78x = 3,945,484.13
  5. Step 5: Solve for x
    x = 3,945,484.13/2,004.78
  6. Step 6: Final answer
    x = 1,968.04

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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.