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Finding the Fourth Proportional to 5,129.86, 7,079.20 and 2,772

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Solution

The fourth proportional to 5,129.86, 7,079.20 and 2,772 is: 3,825.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.86 : 7,079.20 = 2,772 : x
  2. Step 2: Convert to fraction form
    5,129.86/7,079.20 = 2,772/x
  3. Step 3: Cross multiply
    5,129.86x = 7,079.20 × 2,772
  4. Step 4: Simplify right side
    5,129.86x = 19,623,535.47
  5. Step 5: Solve for x
    x = 19,623,535.47/5,129.86
  6. Step 6: Final answer
    x = 3,825.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.