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Finding the Fourth Proportional to 11,607.70, 17,411.65 and 3,287.90

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Solution

The fourth proportional to 11,607.70, 17,411.65 and 3,287.90 is: 4,931.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.70 : 17,411.65 = 3,287.90 : x
  2. Step 2: Convert to fraction form
    11,607.70/17,411.65 = 3,287.90/x
  3. Step 3: Cross multiply
    11,607.70x = 17,411.65 × 3,287.90
  4. Step 4: Simplify right side
    11,607.70x = 57,247,764.04
  5. Step 5: Solve for x
    x = 57,247,764.04/11,607.70
  6. Step 6: Final answer
    x = 4,931.88

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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.