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Finding the Fourth Proportional to 12,834.65, 17,717.23 and 7,800.50

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Solution

The fourth proportional to 12,834.65, 17,717.23 and 7,800.50 is: 10,767.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.65 : 17,717.23 = 7,800.50 : x
  2. Step 2: Convert to fraction form
    12,834.65/17,717.23 = 7,800.50/x
  3. Step 3: Cross multiply
    12,834.65x = 17,717.23 × 7,800.50
  4. Step 4: Simplify right side
    12,834.65x = 138,203,306.66
  5. Step 5: Solve for x
    x = 138,203,306.66/12,834.65
  6. Step 6: Final answer
    x = 10,767.98

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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.