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Finding the Fourth Proportional to 15,169.41, 20,946.69 and 9,513.63

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Solution

The fourth proportional to 15,169.41, 20,946.69 and 9,513.63 is: 13,136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,169.41 : 20,946.69 = 9,513.63 : x
  2. Step 2: Convert to fraction form
    15,169.41/20,946.69 = 9,513.63/x
  3. Step 3: Cross multiply
    15,169.41x = 20,946.69 × 9,513.63
  4. Step 4: Simplify right side
    15,169.41x = 199,279,058.38
  5. Step 5: Solve for x
    x = 199,279,058.38/15,169.41
  6. Step 6: Final answer
    x = 13,136.90

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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.