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Finding the Fourth Proportional to 3,285.65, 4,929.84 and 2,666.91

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Solution

The fourth proportional to 3,285.65, 4,929.84 and 2,666.91 is: 4,001.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.65 : 4,929.84 = 2,666.91 : x
  2. Step 2: Convert to fraction form
    3,285.65/4,929.84 = 2,666.91/x
  3. Step 3: Cross multiply
    3,285.65x = 4,929.84 × 2,666.91
  4. Step 4: Simplify right side
    3,285.65x = 13,147,439.59
  5. Step 5: Solve for x
    x = 13,147,439.59/3,285.65
  6. Step 6: Final answer
    x = 4,001.48

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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.