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Finding the Fourth Proportional to 1,415.87, 1,954 and 786.39

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Solution

The fourth proportional to 1,415.87, 1,954 and 786.39 is: 1,085.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.87 : 1,954 = 786.39 : x
  2. Step 2: Convert to fraction form
    1,415.87/1,954 = 786.39/x
  3. Step 3: Cross multiply
    1,415.87x = 1,954 × 786.39
  4. Step 4: Simplify right side
    1,415.87x = 1,536,606.06
  5. Step 5: Solve for x
    x = 1,536,606.06/1,415.87
  6. Step 6: Final answer
    x = 1,085.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.