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Finding the Fourth Proportional to 5,913.31, 8,160.31 and 3,395.83

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Solution

The fourth proportional to 5,913.31, 8,160.31 and 3,395.83 is: 4,686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913.31 : 8,160.31 = 3,395.83 : x
  2. Step 2: Convert to fraction form
    5,913.31/8,160.31 = 3,395.83/x
  3. Step 3: Cross multiply
    5,913.31x = 8,160.31 × 3,395.83
  4. Step 4: Simplify right side
    5,913.31x = 27,711,025.51
  5. Step 5: Solve for x
    x = 27,711,025.51/5,913.31
  6. Step 6: Final answer
    x = 4,686.21

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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.