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Finding the Fourth Proportional to 5,776.86, 7,967.79 and 3,681.66

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Solution

The fourth proportional to 5,776.86, 7,967.79 and 3,681.66 is: 5,077.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.86 : 7,967.79 = 3,681.66 : x
  2. Step 2: Convert to fraction form
    5,776.86/7,967.79 = 3,681.66/x
  3. Step 3: Cross multiply
    5,776.86x = 7,967.79 × 3,681.66
  4. Step 4: Simplify right side
    5,776.86x = 29,334,693.73
  5. Step 5: Solve for x
    x = 29,334,693.73/5,776.86
  6. Step 6: Final answer
    x = 5,077.97

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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.