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Finding the Fourth Proportional to 4,608.36, 6,913.62 and 1,321.47

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Solution

The fourth proportional to 4,608.36, 6,913.62 and 1,321.47 is: 1,982.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.36 : 6,913.62 = 1,321.47 : x
  2. Step 2: Convert to fraction form
    4,608.36/6,913.62 = 1,321.47/x
  3. Step 3: Cross multiply
    4,608.36x = 6,913.62 × 1,321.47
  4. Step 4: Simplify right side
    4,608.36x = 9,136,141.42
  5. Step 5: Solve for x
    x = 9,136,141.42/4,608.36
  6. Step 6: Final answer
    x = 1,982.51

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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.