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Finding the Fourth Proportional to 3,875.65, 5,809.93 and 2,489.33

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Solution

The fourth proportional to 3,875.65, 5,809.93 and 2,489.33 is: 3,731.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.65 : 5,809.93 = 2,489.33 : x
  2. Step 2: Convert to fraction form
    3,875.65/5,809.93 = 2,489.33/x
  3. Step 3: Cross multiply
    3,875.65x = 5,809.93 × 2,489.33
  4. Step 4: Simplify right side
    3,875.65x = 14,462,841.35
  5. Step 5: Solve for x
    x = 14,462,841.35/3,875.65
  6. Step 6: Final answer
    x = 3,731.72

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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.