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Finding the Fourth Proportional to 11,401.44, 15,724.17 and 7,421.10

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Solution

The fourth proportional to 11,401.44, 15,724.17 and 7,421.10 is: 10,234.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,401.44 : 15,724.17 = 7,421.10 : x
  2. Step 2: Convert to fraction form
    11,401.44/15,724.17 = 7,421.10/x
  3. Step 3: Cross multiply
    11,401.44x = 15,724.17 × 7,421.10
  4. Step 4: Simplify right side
    11,401.44x = 116,690,637.99
  5. Step 5: Solve for x
    x = 116,690,637.99/11,401.44
  6. Step 6: Final answer
    x = 10,234.73

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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.