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Finding the Fourth Proportional to 19,952.43, 29,928.45 and 7,640.43

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Solution

The fourth proportional to 19,952.43, 29,928.45 and 7,640.43 is: 11,460.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,952.43 : 29,928.45 = 7,640.43 : x
  2. Step 2: Convert to fraction form
    19,952.43/29,928.45 = 7,640.43/x
  3. Step 3: Cross multiply
    19,952.43x = 29,928.45 × 7,640.43
  4. Step 4: Simplify right side
    19,952.43x = 228,666,227.23
  5. Step 5: Solve for x
    x = 228,666,227.23/19,952.43
  6. Step 6: Final answer
    x = 11,460.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.