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Finding the Fourth Proportional to 12,005.42, 18,005.69 and 6,745.68

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Solution

The fourth proportional to 12,005.42, 18,005.69 and 6,745.68 is: 10,117.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.42 : 18,005.69 = 6,745.68 : x
  2. Step 2: Convert to fraction form
    12,005.42/18,005.69 = 6,745.68/x
  3. Step 3: Cross multiply
    12,005.42x = 18,005.69 × 6,745.68
  4. Step 4: Simplify right side
    12,005.42x = 121,460,639.78
  5. Step 5: Solve for x
    x = 121,460,639.78/12,005.42
  6. Step 6: Final answer
    x = 10,117.15

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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.