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Finding the Fourth Proportional to 13,810.17, 19,059.11 and 7,843.71

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Solution

The fourth proportional to 13,810.17, 19,059.11 and 7,843.71 is: 10,824.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.17 : 19,059.11 = 7,843.71 : x
  2. Step 2: Convert to fraction form
    13,810.17/19,059.11 = 7,843.71/x
  3. Step 3: Cross multiply
    13,810.17x = 19,059.11 × 7,843.71
  4. Step 4: Simplify right side
    13,810.17x = 149,494,131.70
  5. Step 5: Solve for x
    x = 149,494,131.70/13,810.17
  6. Step 6: Final answer
    x = 10,824.93

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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.