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Finding the Fourth Proportional to 3,869.58, 5,795.13 and 2,478.54

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Solution

The fourth proportional to 3,869.58, 5,795.13 and 2,478.54 is: 3,711.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.58 : 5,795.13 = 2,478.54 : x
  2. Step 2: Convert to fraction form
    3,869.58/5,795.13 = 2,478.54/x
  3. Step 3: Cross multiply
    3,869.58x = 5,795.13 × 2,478.54
  4. Step 4: Simplify right side
    3,869.58x = 14,363,461.51
  5. Step 5: Solve for x
    x = 14,363,461.51/3,869.58
  6. Step 6: Final answer
    x = 3,711.89

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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.