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Finding the Fourth Proportional to 1,416.05, 1,954.10 and 786.56

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Solution

The fourth proportional to 1,416.05, 1,954.10 and 786.56 is: 1,085.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.05 : 1,954.10 = 786.56 : x
  2. Step 2: Convert to fraction form
    1,416.05/1,954.10 = 786.56/x
  3. Step 3: Cross multiply
    1,416.05x = 1,954.10 × 786.56
  4. Step 4: Simplify right side
    1,416.05x = 1,537,009.09
  5. Step 5: Solve for x
    x = 1,537,009.09/1,416.05
  6. Step 6: Final answer
    x = 1,085.42

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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.