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Finding the Fourth Proportional to 12,160.59, 18,223.73 and 5,742.32

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Solution

The fourth proportional to 12,160.59, 18,223.73 and 5,742.32 is: 8,605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,160.59 : 18,223.73 = 5,742.32 : x
  2. Step 2: Convert to fraction form
    12,160.59/18,223.73 = 5,742.32/x
  3. Step 3: Cross multiply
    12,160.59x = 18,223.73 × 5,742.32
  4. Step 4: Simplify right side
    12,160.59x = 104,646,512.31
  5. Step 5: Solve for x
    x = 104,646,512.31/12,160.59
  6. Step 6: Final answer
    x = 8,605.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.