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Finding the Fourth Proportional to 5,168.43, 7,750.71 and 1,657.53

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Solution

The fourth proportional to 5,168.43, 7,750.71 and 1,657.53 is: 2,485.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.43 : 7,750.71 = 1,657.53 : x
  2. Step 2: Convert to fraction form
    5,168.43/7,750.71 = 1,657.53/x
  3. Step 3: Cross multiply
    5,168.43x = 7,750.71 × 1,657.53
  4. Step 4: Simplify right side
    5,168.43x = 12,847,034.35
  5. Step 5: Solve for x
    x = 12,847,034.35/5,168.43
  6. Step 6: Final answer
    x = 2,485.67

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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.