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Finding the Fourth Proportional to 7,813.70, 11,720.59 and 1,890.58

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Solution

The fourth proportional to 7,813.70, 11,720.59 and 1,890.58 is: 2,835.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.70 : 11,720.59 = 1,890.58 : x
  2. Step 2: Convert to fraction form
    7,813.70/11,720.59 = 1,890.58/x
  3. Step 3: Cross multiply
    7,813.70x = 11,720.59 × 1,890.58
  4. Step 4: Simplify right side
    7,813.70x = 22,158,713.04
  5. Step 5: Solve for x
    x = 22,158,713.04/7,813.70
  6. Step 6: Final answer
    x = 2,835.88

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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.