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Finding the Fourth Proportional to 5,695.31, 7,859.23 and 3,177.53

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Solution

The fourth proportional to 5,695.31, 7,859.23 and 3,177.53 is: 4,384.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.31 : 7,859.23 = 3,177.53 : x
  2. Step 2: Convert to fraction form
    5,695.31/7,859.23 = 3,177.53/x
  3. Step 3: Cross multiply
    5,695.31x = 7,859.23 × 3,177.53
  4. Step 4: Simplify right side
    5,695.31x = 24,972,921.33
  5. Step 5: Solve for x
    x = 24,972,921.33/5,695.31
  6. Step 6: Final answer
    x = 4,384.82

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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.