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Finding the Fourth Proportional to 6,493.56, 9,740.40 and 1,876.56

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Solution

The fourth proportional to 6,493.56, 9,740.40 and 1,876.56 is: 2,814.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.56 : 9,740.40 = 1,876.56 : x
  2. Step 2: Convert to fraction form
    6,493.56/9,740.40 = 1,876.56/x
  3. Step 3: Cross multiply
    6,493.56x = 9,740.40 × 1,876.56
  4. Step 4: Simplify right side
    6,493.56x = 18,278,445.02
  5. Step 5: Solve for x
    x = 18,278,445.02/6,493.56
  6. Step 6: Final answer
    x = 2,814.86

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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.