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Finding the Fourth Proportional to 5,640.84, 8,450.10 and 5,215.50

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Solution

The fourth proportional to 5,640.84, 8,450.10 and 5,215.50 is: 7,812.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.84 : 8,450.10 = 5,215.50 : x
  2. Step 2: Convert to fraction form
    5,640.84/8,450.10 = 5,215.50/x
  3. Step 3: Cross multiply
    5,640.84x = 8,450.10 × 5,215.50
  4. Step 4: Simplify right side
    5,640.84x = 44,071,496.55
  5. Step 5: Solve for x
    x = 44,071,496.55/5,640.84
  6. Step 6: Final answer
    x = 7,812.93

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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.