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Finding the Fourth Proportional to 30,483.72, 45,727.37 and 11,763.86

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Solution

The fourth proportional to 30,483.72, 45,727.37 and 11,763.86 is: 17,646.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,483.72 : 45,727.37 = 11,763.86 : x
  2. Step 2: Convert to fraction form
    30,483.72/45,727.37 = 11,763.86/x
  3. Step 3: Cross multiply
    30,483.72x = 45,727.37 × 11,763.86
  4. Step 4: Simplify right side
    30,483.72x = 537,930,091.39
  5. Step 5: Solve for x
    x = 537,930,091.39/30,483.72
  6. Step 6: Final answer
    x = 17,646.47

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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.