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Finding the Fourth Proportional to 1,419, 1,956.42 and 1,166

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Solution

The fourth proportional to 1,419, 1,956.42 and 1,166 is: 1,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419 : 1,956.42 = 1,166 : x
  2. Step 2: Convert to fraction form
    1,419/1,956.42 = 1,166/x
  3. Step 3: Cross multiply
    1,419x = 1,956.42 × 1,166
  4. Step 4: Simplify right side
    1,419x = 2,281,185.72
  5. Step 5: Solve for x
    x = 2,281,185.72/1,419
  6. Step 6: Final answer
    x = 1,607.60

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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.