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Finding the Fourth Proportional to 21,856.48, 30,161.04 and 11,920.48

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Solution

The fourth proportional to 21,856.48, 30,161.04 and 11,920.48 is: 16,449.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,856.48 : 30,161.04 = 11,920.48 : x
  2. Step 2: Convert to fraction form
    21,856.48/30,161.04 = 11,920.48/x
  3. Step 3: Cross multiply
    21,856.48x = 30,161.04 × 11,920.48
  4. Step 4: Simplify right side
    21,856.48x = 359,534,074.10
  5. Step 5: Solve for x
    x = 359,534,074.10/21,856.48
  6. Step 6: Final answer
    x = 16,449.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.