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Finding the Fourth Proportional to 19,648.82, 27,114.80 and 11,150.70

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Solution

The fourth proportional to 19,648.82, 27,114.80 and 11,150.70 is: 15,387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,648.82 : 27,114.80 = 11,150.70 : x
  2. Step 2: Convert to fraction form
    19,648.82/27,114.80 = 11,150.70/x
  3. Step 3: Cross multiply
    19,648.82x = 27,114.80 × 11,150.70
  4. Step 4: Simplify right side
    19,648.82x = 302,349,000.36
  5. Step 5: Solve for x
    x = 302,349,000.36/19,648.82
  6. Step 6: Final answer
    x = 15,387.64

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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.