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Finding the Fourth Proportional to 19,777.56, 27,295.56 and 11,394.06

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Solution

The fourth proportional to 19,777.56, 27,295.56 and 11,394.06 is: 15,725.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,777.56 : 27,295.56 = 11,394.06 : x
  2. Step 2: Convert to fraction form
    19,777.56/27,295.56 = 11,394.06/x
  3. Step 3: Cross multiply
    19,777.56x = 27,295.56 × 11,394.06
  4. Step 4: Simplify right side
    19,777.56x = 311,007,248.37
  5. Step 5: Solve for x
    x = 311,007,248.37/19,777.56
  6. Step 6: Final answer
    x = 15,725.26

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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.