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Finding the Fourth Proportional to 30,217.65, 41,701.08 and 16,789.47

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Solution

The fourth proportional to 30,217.65, 41,701.08 and 16,789.47 is: 23,169.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,217.65 : 41,701.08 = 16,789.47 : x
  2. Step 2: Convert to fraction form
    30,217.65/41,701.08 = 16,789.47/x
  3. Step 3: Cross multiply
    30,217.65x = 41,701.08 × 16,789.47
  4. Step 4: Simplify right side
    30,217.65x = 700,139,031.63
  5. Step 5: Solve for x
    x = 700,139,031.63/30,217.65
  6. Step 6: Final answer
    x = 23,169.87

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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.