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Finding the Fourth Proportional to 20,482.91, 30,724.35 and 11,711.67

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Solution

The fourth proportional to 20,482.91, 30,724.35 and 11,711.67 is: 17,567.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,482.91 : 30,724.35 = 11,711.67 : x
  2. Step 2: Convert to fraction form
    20,482.91/30,724.35 = 11,711.67/x
  3. Step 3: Cross multiply
    20,482.91x = 30,724.35 × 11,711.67
  4. Step 4: Simplify right side
    20,482.91x = 359,833,289.03
  5. Step 5: Solve for x
    x = 359,833,289.03/20,482.91
  6. Step 6: Final answer
    x = 17,567.49

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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.