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Finding the Fourth Proportional to 11,520, 17,249.28 and 9,446.40

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Solution

The fourth proportional to 11,520, 17,249.28 and 9,446.40 is: 14,144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520 : 17,249.28 = 9,446.40 : x
  2. Step 2: Convert to fraction form
    11,520/17,249.28 = 9,446.40/x
  3. Step 3: Cross multiply
    11,520x = 17,249.28 × 9,446.40
  4. Step 4: Simplify right side
    11,520x = 162,943,598.59
  5. Step 5: Solve for x
    x = 162,943,598.59/11,520
  6. Step 6: Final answer
    x = 14,144.41

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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.