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Finding the Fourth Proportional to 5,129.84, 7,692 and 2,658.53

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Solution

The fourth proportional to 5,129.84, 7,692 and 2,658.53 is: 3,986.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.84 : 7,692 = 2,658.53 : x
  2. Step 2: Convert to fraction form
    5,129.84/7,692 = 2,658.53/x
  3. Step 3: Cross multiply
    5,129.84x = 7,692 × 2,658.53
  4. Step 4: Simplify right side
    5,129.84x = 20,449,412.76
  5. Step 5: Solve for x
    x = 20,449,412.76/5,129.84
  6. Step 6: Final answer
    x = 3,986.36

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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.