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Finding the Fourth Proportional to 20,803.78, 28,724.25 and 12,856.90

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Solution

The fourth proportional to 20,803.78, 28,724.25 and 12,856.90 is: 17,751.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,803.78 : 28,724.25 = 12,856.90 : x
  2. Step 2: Convert to fraction form
    20,803.78/28,724.25 = 12,856.90/x
  3. Step 3: Cross multiply
    20,803.78x = 28,724.25 × 12,856.90
  4. Step 4: Simplify right side
    20,803.78x = 369,304,809.83
  5. Step 5: Solve for x
    x = 369,304,809.83/20,803.78
  6. Step 6: Final answer
    x = 17,751.81

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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.