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Finding the Fourth Proportional to 12,835.90, 17,717.43 and 8,121.70

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Solution

The fourth proportional to 12,835.90, 17,717.43 and 8,121.70 is: 11,210.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.90 : 17,717.43 = 8,121.70 : x
  2. Step 2: Convert to fraction form
    12,835.90/17,717.43 = 8,121.70/x
  3. Step 3: Cross multiply
    12,835.90x = 17,717.43 × 8,121.70
  4. Step 4: Simplify right side
    12,835.90x = 143,895,651.23
  5. Step 5: Solve for x
    x = 143,895,651.23/12,835.90
  6. Step 6: Final answer
    x = 11,210.41

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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.