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Finding the Fourth Proportional to 11,385.80, 17,067.90 and 10,219.40

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Solution

The fourth proportional to 11,385.80, 17,067.90 and 10,219.40 is: 15,319.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,385.80 : 17,067.90 = 10,219.40 : x
  2. Step 2: Convert to fraction form
    11,385.80/17,067.90 = 10,219.40/x
  3. Step 3: Cross multiply
    11,385.80x = 17,067.90 × 10,219.40
  4. Step 4: Simplify right side
    11,385.80x = 174,423,697.26
  5. Step 5: Solve for x
    x = 174,423,697.26/11,385.80
  6. Step 6: Final answer
    x = 15,319.41

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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.