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Finding the Fourth Proportional to 20,005.40, 29,971.20 and 11,689.40

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Solution

The fourth proportional to 20,005.40, 29,971.20 and 11,689.40 is: 17,512.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,005.40 : 29,971.20 = 11,689.40 : x
  2. Step 2: Convert to fraction form
    20,005.40/29,971.20 = 11,689.40/x
  3. Step 3: Cross multiply
    20,005.40x = 29,971.20 × 11,689.40
  4. Step 4: Simplify right side
    20,005.40x = 350,345,345.28
  5. Step 5: Solve for x
    x = 350,345,345.28/20,005.40
  6. Step 6: Final answer
    x = 17,512.54

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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.