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Finding the Fourth Proportional to 3,493.62, 5,239.71 and 1,302.30

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Solution

The fourth proportional to 3,493.62, 5,239.71 and 1,302.30 is: 1,953.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.62 : 5,239.71 = 1,302.30 : x
  2. Step 2: Convert to fraction form
    3,493.62/5,239.71 = 1,302.30/x
  3. Step 3: Cross multiply
    3,493.62x = 5,239.71 × 1,302.30
  4. Step 4: Simplify right side
    3,493.62x = 6,823,674.33
  5. Step 5: Solve for x
    x = 6,823,674.33/3,493.62
  6. Step 6: Final answer
    x = 1,953.18

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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.