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Finding the Fourth Proportional to 19,730.56, 27,228.24 and 11,347

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Solution

The fourth proportional to 19,730.56, 27,228.24 and 11,347 is: 15,658.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,730.56 : 27,228.24 = 11,347 : x
  2. Step 2: Convert to fraction form
    19,730.56/27,228.24 = 11,347/x
  3. Step 3: Cross multiply
    19,730.56x = 27,228.24 × 11,347
  4. Step 4: Simplify right side
    19,730.56x = 308,958,839.28
  5. Step 5: Solve for x
    x = 308,958,839.28/19,730.56
  6. Step 6: Final answer
    x = 15,658.90

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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.