Home / 1,361.07-2,039.45-784.35

Finding the Fourth Proportional to 1,361.07, 2,039.45 and 784.35

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Solution

The fourth proportional to 1,361.07, 2,039.45 and 784.35 is: 1,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.07 : 2,039.45 = 784.35 : x
  2. Step 2: Convert to fraction form
    1,361.07/2,039.45 = 784.35/x
  3. Step 3: Cross multiply
    1,361.07x = 2,039.45 × 784.35
  4. Step 4: Simplify right side
    1,361.07x = 1,599,638.69
  5. Step 5: Solve for x
    x = 1,599,638.69/1,361.07
  6. Step 6: Final answer
    x = 1,175.28

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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.