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Finding the Fourth Proportional to 5,148.42, 7,723.17 and 1,685.67

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Solution

The fourth proportional to 5,148.42, 7,723.17 and 1,685.67 is: 2,528.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.42 : 7,723.17 = 1,685.67 : x
  2. Step 2: Convert to fraction form
    5,148.42/7,723.17 = 1,685.67/x
  3. Step 3: Cross multiply
    5,148.42x = 7,723.17 × 1,685.67
  4. Step 4: Simplify right side
    5,148.42x = 13,018,715.97
  5. Step 5: Solve for x
    x = 13,018,715.97/5,148.42
  6. Step 6: Final answer
    x = 2,528.68

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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.