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Finding the Fourth Proportional to 20,354.16, 30,524.08 and 9,679.28

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Solution

The fourth proportional to 20,354.16, 30,524.08 and 9,679.28 is: 14,515.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,354.16 : 30,524.08 = 9,679.28 : x
  2. Step 2: Convert to fraction form
    20,354.16/30,524.08 = 9,679.28/x
  3. Step 3: Cross multiply
    20,354.16x = 30,524.08 × 9,679.28
  4. Step 4: Simplify right side
    20,354.16x = 295,451,117.06
  5. Step 5: Solve for x
    x = 295,451,117.06/20,354.16
  6. Step 6: Final answer
    x = 14,515.52

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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.