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Finding the Fourth Proportional to 21,901.68, 30,224.32 and 11,965.68

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Solution

The fourth proportional to 21,901.68, 30,224.32 and 11,965.68 is: 16,512.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,901.68 : 30,224.32 = 11,965.68 : x
  2. Step 2: Convert to fraction form
    21,901.68/30,224.32 = 11,965.68/x
  3. Step 3: Cross multiply
    21,901.68x = 30,224.32 × 11,965.68
  4. Step 4: Simplify right side
    21,901.68x = 361,654,541.34
  5. Step 5: Solve for x
    x = 361,654,541.34/21,901.68
  6. Step 6: Final answer
    x = 16,512.64

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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.