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Finding the Fourth Proportional to 2,608.36, 3,913.05 and 1,147.51

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Solution

The fourth proportional to 2,608.36, 3,913.05 and 1,147.51 is: 1,721.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.36 : 3,913.05 = 1,147.51 : x
  2. Step 2: Convert to fraction form
    2,608.36/3,913.05 = 1,147.51/x
  3. Step 3: Cross multiply
    2,608.36x = 3,913.05 × 1,147.51
  4. Step 4: Simplify right side
    2,608.36x = 4,490,264.01
  5. Step 5: Solve for x
    x = 4,490,264.01/2,608.36
  6. Step 6: Final answer
    x = 1,721.49

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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.