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Finding the Fourth Proportional to 20,648.87, 30,969.64 and 9,401.61

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Solution

The fourth proportional to 20,648.87, 30,969.64 and 9,401.61 is: 14,100.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,648.87 : 30,969.64 = 9,401.61 : x
  2. Step 2: Convert to fraction form
    20,648.87/30,969.64 = 9,401.61/x
  3. Step 3: Cross multiply
    20,648.87x = 30,969.64 × 9,401.61
  4. Step 4: Simplify right side
    20,648.87x = 291,164,477.12
  5. Step 5: Solve for x
    x = 291,164,477.12/20,648.87
  6. Step 6: Final answer
    x = 14,100.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.