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Finding the Fourth Proportional to 12,007, 18,005.91 and 5,765.23

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Solution

The fourth proportional to 12,007, 18,005.91 and 5,765.23 is: 8,645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007 : 18,005.91 = 5,765.23 : x
  2. Step 2: Convert to fraction form
    12,007/18,005.91 = 5,765.23/x
  3. Step 3: Cross multiply
    12,007x = 18,005.91 × 5,765.23
  4. Step 4: Simplify right side
    12,007x = 103,808,212.51
  5. Step 5: Solve for x
    x = 103,808,212.51/12,007
  6. Step 6: Final answer
    x = 8,645.64

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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.