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Finding the Fourth Proportional to 11,664.60, 17,491.20 and 3,870.78

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Solution

The fourth proportional to 11,664.60, 17,491.20 and 3,870.78 is: 5,804.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.60 : 17,491.20 = 3,870.78 : x
  2. Step 2: Convert to fraction form
    11,664.60/17,491.20 = 3,870.78/x
  3. Step 3: Cross multiply
    11,664.60x = 17,491.20 × 3,870.78
  4. Step 4: Simplify right side
    11,664.60x = 67,704,587.14
  5. Step 5: Solve for x
    x = 67,704,587.14/11,664.60
  6. Step 6: Final answer
    x = 5,804.28

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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.