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Finding the Fourth Proportional to 19,673.40, 29,511.54 and 7,983.48

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Solution

The fourth proportional to 19,673.40, 29,511.54 and 7,983.48 is: 11,975.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,673.40 : 29,511.54 = 7,983.48 : x
  2. Step 2: Convert to fraction form
    19,673.40/29,511.54 = 7,983.48/x
  3. Step 3: Cross multiply
    19,673.40x = 29,511.54 × 7,983.48
  4. Step 4: Simplify right side
    19,673.40x = 235,604,789.36
  5. Step 5: Solve for x
    x = 235,604,789.36/19,673.40
  6. Step 6: Final answer
    x = 11,975.80

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1.5x scale

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.