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Finding the Fourth Proportional to 7,813.64, 11,720.06 and 1,969.90

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Solution

The fourth proportional to 7,813.64, 11,720.06 and 1,969.90 is: 2,954.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.64 : 11,720.06 = 1,969.90 : x
  2. Step 2: Convert to fraction form
    7,813.64/11,720.06 = 1,969.90/x
  3. Step 3: Cross multiply
    7,813.64x = 11,720.06 × 1,969.90
  4. Step 4: Simplify right side
    7,813.64x = 23,087,346.19
  5. Step 5: Solve for x
    x = 23,087,346.19/7,813.64
  6. Step 6: Final answer
    x = 2,954.75

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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.