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Finding the Fourth Proportional to 20,563.88, 28,348.44 and 13,478

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Solution

The fourth proportional to 20,563.88, 28,348.44 and 13,478 is: 18,580.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,563.88 : 28,348.44 = 13,478 : x
  2. Step 2: Convert to fraction form
    20,563.88/28,348.44 = 13,478/x
  3. Step 3: Cross multiply
    20,563.88x = 28,348.44 × 13,478
  4. Step 4: Simplify right side
    20,563.88x = 382,080,274.32
  5. Step 5: Solve for x
    x = 382,080,274.32/20,563.88
  6. Step 6: Final answer
    x = 18,580.16

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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.