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Finding the Fourth Proportional to 14,122.38, 19,486.80 and 7,834.80

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Solution

The fourth proportional to 14,122.38, 19,486.80 and 7,834.80 is: 10,810.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122.38 : 19,486.80 = 7,834.80 : x
  2. Step 2: Convert to fraction form
    14,122.38/19,486.80 = 7,834.80/x
  3. Step 3: Cross multiply
    14,122.38x = 19,486.80 × 7,834.80
  4. Step 4: Simplify right side
    14,122.38x = 152,675,180.64
  5. Step 5: Solve for x
    x = 152,675,180.64/14,122.38
  6. Step 6: Final answer
    x = 10,810.87

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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.