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Finding the Fourth Proportional to 5,125.72, 7,683.72 and 1,837.12

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Solution

The fourth proportional to 5,125.72, 7,683.72 and 1,837.12 is: 2,753.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.72 : 7,683.72 = 1,837.12 : x
  2. Step 2: Convert to fraction form
    5,125.72/7,683.72 = 1,837.12/x
  3. Step 3: Cross multiply
    5,125.72x = 7,683.72 × 1,837.12
  4. Step 4: Simplify right side
    5,125.72x = 14,115,915.69
  5. Step 5: Solve for x
    x = 14,115,915.69/5,125.72
  6. Step 6: Final answer
    x = 2,753.94

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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.