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Finding the Fourth Proportional to 3,869.32, 5,804.52 and 1,921

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Solution

The fourth proportional to 3,869.32, 5,804.52 and 1,921 is: 2,881.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.32 : 5,804.52 = 1,921 : x
  2. Step 2: Convert to fraction form
    3,869.32/5,804.52 = 1,921/x
  3. Step 3: Cross multiply
    3,869.32x = 5,804.52 × 1,921
  4. Step 4: Simplify right side
    3,869.32x = 11,150,482.92
  5. Step 5: Solve for x
    x = 11,150,482.92/3,869.32
  6. Step 6: Final answer
    x = 2,881.77

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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.