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Finding the Fourth Proportional to 12,407.74, 18,609.09 and 3,640.30

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Solution

The fourth proportional to 12,407.74, 18,609.09 and 3,640.30 is: 5,459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.74 : 18,609.09 = 3,640.30 : x
  2. Step 2: Convert to fraction form
    12,407.74/18,609.09 = 3,640.30/x
  3. Step 3: Cross multiply
    12,407.74x = 18,609.09 × 3,640.30
  4. Step 4: Simplify right side
    12,407.74x = 67,742,670.33
  5. Step 5: Solve for x
    x = 67,742,670.33/12,407.74
  6. Step 6: Final answer
    x = 5,459.71

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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.