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Finding the Fourth Proportional to 5,130.50, 7,682.61 and 4,092

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Solution

The fourth proportional to 5,130.50, 7,682.61 and 4,092 is: 6,127.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.50 : 7,682.61 = 4,092 : x
  2. Step 2: Convert to fraction form
    5,130.50/7,682.61 = 4,092/x
  3. Step 3: Cross multiply
    5,130.50x = 7,682.61 × 4,092
  4. Step 4: Simplify right side
    5,130.50x = 31,437,240.12
  5. Step 5: Solve for x
    x = 31,437,240.12/5,130.50
  6. Step 6: Final answer
    x = 6,127.53

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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.