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Finding the Fourth Proportional to 1,383.60, 1,909.08 and 1,051.44

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Solution

The fourth proportional to 1,383.60, 1,909.08 and 1,051.44 is: 1,450.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.60 : 1,909.08 = 1,051.44 : x
  2. Step 2: Convert to fraction form
    1,383.60/1,909.08 = 1,051.44/x
  3. Step 3: Cross multiply
    1,383.60x = 1,909.08 × 1,051.44
  4. Step 4: Simplify right side
    1,383.60x = 2,007,283.08
  5. Step 5: Solve for x
    x = 2,007,283.08/1,383.60
  6. Step 6: Final answer
    x = 1,450.77

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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.