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Finding the Fourth Proportional to 2,909.77, 4,361.82 and 1,608.51

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Solution

The fourth proportional to 2,909.77, 4,361.82 and 1,608.51 is: 2,411.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.77 : 4,361.82 = 1,608.51 : x
  2. Step 2: Convert to fraction form
    2,909.77/4,361.82 = 1,608.51/x
  3. Step 3: Cross multiply
    2,909.77x = 4,361.82 × 1,608.51
  4. Step 4: Simplify right side
    2,909.77x = 7,016,009.28
  5. Step 5: Solve for x
    x = 7,016,009.28/2,909.77
  6. Step 6: Final answer
    x = 2,411.19

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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.