Home / 2,001.03-3,001.55-1,312.05

Finding the Fourth Proportional to 2,001.03, 3,001.55 and 1,312.05

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Solution

The fourth proportional to 2,001.03, 3,001.55 and 1,312.05 is: 1,968.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.03 : 3,001.55 = 1,312.05 : x
  2. Step 2: Convert to fraction form
    2,001.03/3,001.55 = 1,312.05/x
  3. Step 3: Cross multiply
    2,001.03x = 3,001.55 × 1,312.05
  4. Step 4: Simplify right side
    2,001.03x = 3,938,198.21
  5. Step 5: Solve for x
    x = 3,938,198.21/2,001.03
  6. Step 6: Final answer
    x = 1,968.09

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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.