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Finding the Fourth Proportional to 3,885.71, 5,828.41 and 1,545.62

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Solution

The fourth proportional to 3,885.71, 5,828.41 and 1,545.62 is: 2,318.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.71 : 5,828.41 = 1,545.62 : x
  2. Step 2: Convert to fraction form
    3,885.71/5,828.41 = 1,545.62/x
  3. Step 3: Cross multiply
    3,885.71x = 5,828.41 × 1,545.62
  4. Step 4: Simplify right side
    3,885.71x = 9,008,499.34
  5. Step 5: Solve for x
    x = 9,008,499.34/3,885.71
  6. Step 6: Final answer
    x = 2,318.37

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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.