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Finding the Fourth Proportional to 13,861, 19,128.30 and 7,573.38

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Solution

The fourth proportional to 13,861, 19,128.30 and 7,573.38 is: 10,451.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,861 : 19,128.30 = 7,573.38 : x
  2. Step 2: Convert to fraction form
    13,861/19,128.30 = 7,573.38/x
  3. Step 3: Cross multiply
    13,861x = 19,128.30 × 7,573.38
  4. Step 4: Simplify right side
    13,861x = 144,865,884.65
  5. Step 5: Solve for x
    x = 144,865,884.65/13,861
  6. Step 6: Final answer
    x = 10,451.33

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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.