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Finding the Fourth Proportional to 18,329.50, 25,294.71 and 9,946

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Solution

The fourth proportional to 18,329.50, 25,294.71 and 9,946 is: 13,725.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,329.50 : 25,294.71 = 9,946 : x
  2. Step 2: Convert to fraction form
    18,329.50/25,294.71 = 9,946/x
  3. Step 3: Cross multiply
    18,329.50x = 25,294.71 × 9,946
  4. Step 4: Simplify right side
    18,329.50x = 251,581,185.66
  5. Step 5: Solve for x
    x = 251,581,185.66/18,329.50
  6. Step 6: Final answer
    x = 13,725.48

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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.