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Finding the Fourth Proportional to 11,728.40, 17,573.40 and 10,000.40

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Solution

The fourth proportional to 11,728.40, 17,573.40 and 10,000.40 is: 14,984.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728.40 : 17,573.40 = 10,000.40 : x
  2. Step 2: Convert to fraction form
    11,728.40/17,573.40 = 10,000.40/x
  3. Step 3: Cross multiply
    11,728.40x = 17,573.40 × 10,000.40
  4. Step 4: Simplify right side
    11,728.40x = 175,741,029.36
  5. Step 5: Solve for x
    x = 175,741,029.36/11,728.40
  6. Step 6: Final answer
    x = 14,984.23

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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.