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Finding the Fourth Proportional to 5,742.72, 7,929.62 and 4,680.64

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Solution

The fourth proportional to 5,742.72, 7,929.62 and 4,680.64 is: 6,463.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.72 : 7,929.62 = 4,680.64 : x
  2. Step 2: Convert to fraction form
    5,742.72/7,929.62 = 4,680.64/x
  3. Step 3: Cross multiply
    5,742.72x = 7,929.62 × 4,680.64
  4. Step 4: Simplify right side
    5,742.72x = 37,115,696.56
  5. Step 5: Solve for x
    x = 37,115,696.56/5,742.72
  6. Step 6: Final answer
    x = 6,463.09

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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.