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Finding the Fourth Proportional to 21,772.50, 30,048.84 and 12,820.84

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Solution

The fourth proportional to 21,772.50, 30,048.84 and 12,820.84 is: 17,694.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,772.50 : 30,048.84 = 12,820.84 : x
  2. Step 2: Convert to fraction form
    21,772.50/30,048.84 = 12,820.84/x
  3. Step 3: Cross multiply
    21,772.50x = 30,048.84 × 12,820.84
  4. Step 4: Simplify right side
    21,772.50x = 385,251,379.22
  5. Step 5: Solve for x
    x = 385,251,379.22/21,772.50
  6. Step 6: Final answer
    x = 17,694.40

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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.