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Finding the Fourth Proportional to 5,120.66, 7,681 and 1,833.96

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Solution

The fourth proportional to 5,120.66, 7,681 and 1,833.96 is: 2,750.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.66 : 7,681 = 1,833.96 : x
  2. Step 2: Convert to fraction form
    5,120.66/7,681 = 1,833.96/x
  3. Step 3: Cross multiply
    5,120.66x = 7,681 × 1,833.96
  4. Step 4: Simplify right side
    5,120.66x = 14,086,646.76
  5. Step 5: Solve for x
    x = 14,086,646.76/5,120.66
  6. Step 6: Final answer
    x = 2,750.94

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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.