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Finding the Fourth Proportional to 19,731, 27,229.59 and 11,347.50

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Solution

The fourth proportional to 19,731, 27,229.59 and 11,347.50 is: 15,660.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,731 : 27,229.59 = 11,347.50 : x
  2. Step 2: Convert to fraction form
    19,731/27,229.59 = 11,347.50/x
  3. Step 3: Cross multiply
    19,731x = 27,229.59 × 11,347.50
  4. Step 4: Simplify right side
    19,731x = 308,987,772.53
  5. Step 5: Solve for x
    x = 308,987,772.53/19,731
  6. Step 6: Final answer
    x = 15,660.02

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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.