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Finding the Fourth Proportional to 11,869.97, 17,813.70 and 5,630.00

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Solution

The fourth proportional to 11,869.97, 17,813.70 and 5,630.00 is: 8,449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869.97 : 17,813.70 = 5,630.00 : x
  2. Step 2: Convert to fraction form
    11,869.97/17,813.70 = 5,630.00/x
  3. Step 3: Cross multiply
    11,869.97x = 17,813.70 × 5,630.00
  4. Step 4: Simplify right side
    11,869.97x = 100,291,041.93
  5. Step 5: Solve for x
    x = 100,291,041.93/11,869.97
  6. Step 6: Final answer
    x = 8,449.14

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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.