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Finding the Fourth Proportional to 5,170.53, 7,755.81 and 4,257.46

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Solution

The fourth proportional to 5,170.53, 7,755.81 and 4,257.46 is: 6,386.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.53 : 7,755.81 = 4,257.46 : x
  2. Step 2: Convert to fraction form
    5,170.53/7,755.81 = 4,257.46/x
  3. Step 3: Cross multiply
    5,170.53x = 7,755.81 × 4,257.46
  4. Step 4: Simplify right side
    5,170.53x = 33,020,050.84
  5. Step 5: Solve for x
    x = 33,020,050.84/5,170.53
  6. Step 6: Final answer
    x = 6,386.20

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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.