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Finding the Fourth Proportional to 19,730, 27,227.40 and 11,346.50

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Solution

The fourth proportional to 19,730, 27,227.40 and 11,346.50 is: 15,658.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,730 : 27,227.40 = 11,346.50 : x
  2. Step 2: Convert to fraction form
    19,730/27,227.40 = 11,346.50/x
  3. Step 3: Cross multiply
    19,730x = 27,227.40 × 11,346.50
  4. Step 4: Simplify right side
    19,730x = 308,935,694.10
  5. Step 5: Solve for x
    x = 308,935,694.10/19,730
  6. Step 6: Final answer
    x = 15,658.17

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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.