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Finding the Fourth Proportional to 12,406.63, 18,607.47 and 6,078.79

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Solution

The fourth proportional to 12,406.63, 18,607.47 and 6,078.79 is: 9,116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.63 : 18,607.47 = 6,078.79 : x
  2. Step 2: Convert to fraction form
    12,406.63/18,607.47 = 6,078.79/x
  3. Step 3: Cross multiply
    12,406.63x = 18,607.47 × 6,078.79
  4. Step 4: Simplify right side
    12,406.63x = 113,110,902.56
  5. Step 5: Solve for x
    x = 113,110,902.56/12,406.63
  6. Step 6: Final answer
    x = 9,116.97

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1.5x scale

Why These Related Problems?

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