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Finding the Fourth Proportional to 12,406.13, 18,606.72 and 6,078.29

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Solution

The fourth proportional to 12,406.13, 18,606.72 and 6,078.29 is: 9,116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.13 : 18,606.72 = 6,078.29 : x
  2. Step 2: Convert to fraction form
    12,406.13/18,606.72 = 6,078.29/x
  3. Step 3: Cross multiply
    12,406.13x = 18,606.72 × 6,078.29
  4. Step 4: Simplify right side
    12,406.13x = 113,097,040.11
  5. Step 5: Solve for x
    x = 113,097,040.11/12,406.13
  6. Step 6: Final answer
    x = 9,116.22

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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.