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Finding the Fourth Proportional to 19,485, 29,227.66 and 5,634.12

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Solution

The fourth proportional to 19,485, 29,227.66 and 5,634.12 is: 8,451.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,485 : 29,227.66 = 5,634.12 : x
  2. Step 2: Convert to fraction form
    19,485/29,227.66 = 5,634.12/x
  3. Step 3: Cross multiply
    19,485x = 29,227.66 × 5,634.12
  4. Step 4: Simplify right side
    19,485x = 164,672,143.76
  5. Step 5: Solve for x
    x = 164,672,143.76/19,485
  6. Step 6: Final answer
    x = 8,451.23

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.