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Finding the Fourth Proportional to 5,153.13, 7,728 and 1,689.57

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Solution

The fourth proportional to 5,153.13, 7,728 and 1,689.57 is: 2,533.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.13 : 7,728 = 1,689.57 : x
  2. Step 2: Convert to fraction form
    5,153.13/7,728 = 1,689.57/x
  3. Step 3: Cross multiply
    5,153.13x = 7,728 × 1,689.57
  4. Step 4: Simplify right side
    5,153.13x = 13,056,996.96
  5. Step 5: Solve for x
    x = 13,056,996.96/5,153.13
  6. Step 6: Final answer
    x = 2,533.80

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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.