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Finding the Fourth Proportional to 2,713.86, 4,070.95 and 982.66

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Solution

The fourth proportional to 2,713.86, 4,070.95 and 982.66 is: 1,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.86 : 4,070.95 = 982.66 : x
  2. Step 2: Convert to fraction form
    2,713.86/4,070.95 = 982.66/x
  3. Step 3: Cross multiply
    2,713.86x = 4,070.95 × 982.66
  4. Step 4: Simplify right side
    2,713.86x = 4,000,359.73
  5. Step 5: Solve for x
    x = 4,000,359.73/2,713.86
  6. Step 6: Final answer
    x = 1,474.05

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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.