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Finding the Fourth Proportional to 20,289.08, 30,424.04 and 11,858

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Solution

The fourth proportional to 20,289.08, 30,424.04 and 11,858 is: 17,781.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,289.08 : 30,424.04 = 11,858 : x
  2. Step 2: Convert to fraction form
    20,289.08/30,424.04 = 11,858/x
  3. Step 3: Cross multiply
    20,289.08x = 30,424.04 × 11,858
  4. Step 4: Simplify right side
    20,289.08x = 360,768,207.03
  5. Step 5: Solve for x
    x = 360,768,207.03/20,289.08
  6. Step 6: Final answer
    x = 17,781.40

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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.