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Finding the Fourth Proportional to 7,083.74, 9,777.05 and 5,676.77

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Solution

The fourth proportional to 7,083.74, 9,777.05 and 5,676.77 is: 7,835.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.74 : 9,777.05 = 5,676.77 : x
  2. Step 2: Convert to fraction form
    7,083.74/9,777.05 = 5,676.77/x
  3. Step 3: Cross multiply
    7,083.74x = 9,777.05 × 5,676.77
  4. Step 4: Simplify right side
    7,083.74x = 55,501,986.86
  5. Step 5: Solve for x
    x = 55,501,986.86/7,083.74
  6. Step 6: Final answer
    x = 7,835.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.