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Finding the Fourth Proportional to 18,978.50, 28,432.10 and 17,546.42

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Solution

The fourth proportional to 18,978.50, 28,432.10 and 17,546.42 is: 26,286.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,978.50 : 28,432.10 = 17,546.42 : x
  2. Step 2: Convert to fraction form
    18,978.50/28,432.10 = 17,546.42/x
  3. Step 3: Cross multiply
    18,978.50x = 28,432.10 × 17,546.42
  4. Step 4: Simplify right side
    18,978.50x = 498,881,568.08
  5. Step 5: Solve for x
    x = 498,881,568.08/18,978.50
  6. Step 6: Final answer
    x = 26,286.67

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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.