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Finding the Fourth Proportional to 1,416.36, 1,954.35 and 892.02

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Solution

The fourth proportional to 1,416.36, 1,954.35 and 892.02 is: 1,230.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.36 : 1,954.35 = 892.02 : x
  2. Step 2: Convert to fraction form
    1,416.36/1,954.35 = 892.02/x
  3. Step 3: Cross multiply
    1,416.36x = 1,954.35 × 892.02
  4. Step 4: Simplify right side
    1,416.36x = 1,743,319.29
  5. Step 5: Solve for x
    x = 1,743,319.29/1,416.36
  6. Step 6: Final answer
    x = 1,230.84

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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.