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Finding the Fourth Proportional to 19,856.80, 27,396.24 and 11,470.24

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Solution

The fourth proportional to 19,856.80, 27,396.24 and 11,470.24 is: 15,825.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,856.80 : 27,396.24 = 11,470.24 : x
  2. Step 2: Convert to fraction form
    19,856.80/27,396.24 = 11,470.24/x
  3. Step 3: Cross multiply
    19,856.80x = 27,396.24 × 11,470.24
  4. Step 4: Simplify right side
    19,856.80x = 314,241,447.90
  5. Step 5: Solve for x
    x = 314,241,447.90/19,856.80
  6. Step 6: Final answer
    x = 15,825.38

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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.