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Finding the Fourth Proportional to 3,869.36, 5,804 and 947.68

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Solution

The fourth proportional to 3,869.36, 5,804 and 947.68 is: 1,421.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.36 : 5,804 = 947.68 : x
  2. Step 2: Convert to fraction form
    3,869.36/5,804 = 947.68/x
  3. Step 3: Cross multiply
    3,869.36x = 5,804 × 947.68
  4. Step 4: Simplify right side
    3,869.36x = 5,500,334.72
  5. Step 5: Solve for x
    x = 5,500,334.72/3,869.36
  6. Step 6: Final answer
    x = 1,421.51

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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.