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Finding the Fourth Proportional to 3,476, 4,781.52 and 3,333.92

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Solution

The fourth proportional to 3,476, 4,781.52 and 3,333.92 is: 4,586.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476 : 4,781.52 = 3,333.92 : x
  2. Step 2: Convert to fraction form
    3,476/4,781.52 = 3,333.92/x
  3. Step 3: Cross multiply
    3,476x = 4,781.52 × 3,333.92
  4. Step 4: Simplify right side
    3,476x = 15,941,205.16
  5. Step 5: Solve for x
    x = 15,941,205.16/3,476
  6. Step 6: Final answer
    x = 4,586.08

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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.