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Finding the Fourth Proportional to 7,401.84, 10,215.84 and 4,257.96

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Solution

The fourth proportional to 7,401.84, 10,215.84 and 4,257.96 is: 5,876.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,401.84 : 10,215.84 = 4,257.96 : x
  2. Step 2: Convert to fraction form
    7,401.84/10,215.84 = 4,257.96/x
  3. Step 3: Cross multiply
    7,401.84x = 10,215.84 × 4,257.96
  4. Step 4: Simplify right side
    7,401.84x = 43,498,638.09
  5. Step 5: Solve for x
    x = 43,498,638.09/7,401.84
  6. Step 6: Final answer
    x = 5,876.73

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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.