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Finding the Fourth Proportional to 5,297.84, 7,311.18 and 3,200.78

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Solution

The fourth proportional to 5,297.84, 7,311.18 and 3,200.78 is: 4,417.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.84 : 7,311.18 = 3,200.78 : x
  2. Step 2: Convert to fraction form
    5,297.84/7,311.18 = 3,200.78/x
  3. Step 3: Cross multiply
    5,297.84x = 7,311.18 × 3,200.78
  4. Step 4: Simplify right side
    5,297.84x = 23,401,478.72
  5. Step 5: Solve for x
    x = 23,401,478.72/5,297.84
  6. Step 6: Final answer
    x = 4,417.17

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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.