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Finding the Fourth Proportional to 19,642.56, 27,109.08 and 11,259

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Solution

The fourth proportional to 19,642.56, 27,109.08 and 11,259 is: 15,538.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,642.56 : 27,109.08 = 11,259 : x
  2. Step 2: Convert to fraction form
    19,642.56/27,109.08 = 11,259/x
  3. Step 3: Cross multiply
    19,642.56x = 27,109.08 × 11,259
  4. Step 4: Simplify right side
    19,642.56x = 305,221,131.72
  5. Step 5: Solve for x
    x = 305,221,131.72/19,642.56
  6. Step 6: Final answer
    x = 15,538.77

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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.