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Finding the Fourth Proportional to 15,014, 20,724.18 and 9,425

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Solution

The fourth proportional to 15,014, 20,724.18 and 9,425 is: 13,009.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,014 : 20,724.18 = 9,425 : x
  2. Step 2: Convert to fraction form
    15,014/20,724.18 = 9,425/x
  3. Step 3: Cross multiply
    15,014x = 20,724.18 × 9,425
  4. Step 4: Simplify right side
    15,014x = 195,325,396.50
  5. Step 5: Solve for x
    x = 195,325,396.50/15,014
  6. Step 6: Final answer
    x = 13,009.55

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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.