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Finding the Fourth Proportional to 2,071.63, 3,106.80 and 684.66

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Solution

The fourth proportional to 2,071.63, 3,106.80 and 684.66 is: 1,026.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.63 : 3,106.80 = 684.66 : x
  2. Step 2: Convert to fraction form
    2,071.63/3,106.80 = 684.66/x
  3. Step 3: Cross multiply
    2,071.63x = 3,106.80 × 684.66
  4. Step 4: Simplify right side
    2,071.63x = 2,127,101.69
  5. Step 5: Solve for x
    x = 2,127,101.69/2,071.63
  6. Step 6: Final answer
    x = 1,026.78

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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.