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Finding the Fourth Proportional to 20,711, 28,577.36 and 12,215.80

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Solution

The fourth proportional to 20,711, 28,577.36 and 12,215.80 is: 16,855.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,711 : 28,577.36 = 12,215.80 : x
  2. Step 2: Convert to fraction form
    20,711/28,577.36 = 12,215.80/x
  3. Step 3: Cross multiply
    20,711x = 28,577.36 × 12,215.80
  4. Step 4: Simplify right side
    20,711x = 349,095,314.29
  5. Step 5: Solve for x
    x = 349,095,314.29/20,711
  6. Step 6: Final answer
    x = 16,855.55

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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.