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Finding the Fourth Proportional to 12,397.94, 18,594.87 and 4,078.06

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Solution

The fourth proportional to 12,397.94, 18,594.87 and 4,078.06 is: 6,116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397.94 : 18,594.87 = 4,078.06 : x
  2. Step 2: Convert to fraction form
    12,397.94/18,594.87 = 4,078.06/x
  3. Step 3: Cross multiply
    12,397.94x = 18,594.87 × 4,078.06
  4. Step 4: Simplify right side
    12,397.94x = 75,831,038.37
  5. Step 5: Solve for x
    x = 75,831,038.37/12,397.94
  6. Step 6: Final answer
    x = 6,116.42

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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.