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Finding the Fourth Proportional to 2,700, 4,051.62 and 1,161

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Solution

The fourth proportional to 2,700, 4,051.62 and 1,161 is: 1,742.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700 : 4,051.62 = 1,161 : x
  2. Step 2: Convert to fraction form
    2,700/4,051.62 = 1,161/x
  3. Step 3: Cross multiply
    2,700x = 4,051.62 × 1,161
  4. Step 4: Simplify right side
    2,700x = 4,703,930.82
  5. Step 5: Solve for x
    x = 4,703,930.82/2,700
  6. Step 6: Final answer
    x = 1,742.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.