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Finding the Fourth Proportional to 6,873, 9,484.72 and 3,729.20

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Solution

The fourth proportional to 6,873, 9,484.72 and 3,729.20 is: 5,146.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873 : 9,484.72 = 3,729.20 : x
  2. Step 2: Convert to fraction form
    6,873/9,484.72 = 3,729.20/x
  3. Step 3: Cross multiply
    6,873x = 9,484.72 × 3,729.20
  4. Step 4: Simplify right side
    6,873x = 35,370,417.82
  5. Step 5: Solve for x
    x = 35,370,417.82/6,873
  6. Step 6: Final answer
    x = 5,146.29

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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.