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Finding the Fourth Proportional to 19,782.90, 27,299.97 and 10,829.97

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Solution

The fourth proportional to 19,782.90, 27,299.97 and 10,829.97 is: 14,945.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.90 : 27,299.97 = 10,829.97 : x
  2. Step 2: Convert to fraction form
    19,782.90/27,299.97 = 10,829.97/x
  3. Step 3: Cross multiply
    19,782.90x = 27,299.97 × 10,829.97
  4. Step 4: Simplify right side
    19,782.90x = 295,657,856.10
  5. Step 5: Solve for x
    x = 295,657,856.10/19,782.90
  6. Step 6: Final answer
    x = 14,945.12

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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.