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Finding the Fourth Proportional to 18,401, 25,393.48 and 10,017.50

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Solution

The fourth proportional to 18,401, 25,393.48 and 10,017.50 is: 13,824.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,401 : 25,393.48 = 10,017.50 : x
  2. Step 2: Convert to fraction form
    18,401/25,393.48 = 10,017.50/x
  3. Step 3: Cross multiply
    18,401x = 25,393.48 × 10,017.50
  4. Step 4: Simplify right side
    18,401x = 254,379,185.90
  5. Step 5: Solve for x
    x = 254,379,185.90/18,401
  6. Step 6: Final answer
    x = 13,824.20

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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.