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Finding the Fourth Proportional to 12,573.70, 17,369.41 and 11,909.40

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Solution

The fourth proportional to 12,573.70, 17,369.41 and 11,909.40 is: 16,451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,573.70 : 17,369.41 = 11,909.40 : x
  2. Step 2: Convert to fraction form
    12,573.70/17,369.41 = 11,909.40/x
  3. Step 3: Cross multiply
    12,573.70x = 17,369.41 × 11,909.40
  4. Step 4: Simplify right side
    12,573.70x = 206,859,164.61
  5. Step 5: Solve for x
    x = 206,859,164.61/12,573.70
  6. Step 6: Final answer
    x = 16,451.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.