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Finding the Fourth Proportional to 21,853.68, 32,824.68 and 13,105.20

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Solution

The fourth proportional to 21,853.68, 32,824.68 and 13,105.20 is: 19,684.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,853.68 : 32,824.68 = 13,105.20 : x
  2. Step 2: Convert to fraction form
    21,853.68/32,824.68 = 13,105.20/x
  3. Step 3: Cross multiply
    21,853.68x = 32,824.68 × 13,105.20
  4. Step 4: Simplify right side
    21,853.68x = 430,173,996.34
  5. Step 5: Solve for x
    x = 430,173,996.34/21,853.68
  6. Step 6: Final answer
    x = 19,684.28

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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.