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Finding the Fourth Proportional to 2,521, 3,779.86 and 1,204.03

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Solution

The fourth proportional to 2,521, 3,779.86 and 1,204.03 is: 1,805.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521 : 3,779.86 = 1,204.03 : x
  2. Step 2: Convert to fraction form
    2,521/3,779.86 = 1,204.03/x
  3. Step 3: Cross multiply
    2,521x = 3,779.86 × 1,204.03
  4. Step 4: Simplify right side
    2,521x = 4,551,064.84
  5. Step 5: Solve for x
    x = 4,551,064.84/2,521
  6. Step 6: Final answer
    x = 1,805.26

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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.