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Finding the Fourth Proportional to 11,564.80, 17,342.34 and 7,869.04

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Solution

The fourth proportional to 11,564.80, 17,342.34 and 7,869.04 is: 11,800.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.80 : 17,342.34 = 7,869.04 : x
  2. Step 2: Convert to fraction form
    11,564.80/17,342.34 = 7,869.04/x
  3. Step 3: Cross multiply
    11,564.80x = 17,342.34 × 7,869.04
  4. Step 4: Simplify right side
    11,564.80x = 136,467,567.15
  5. Step 5: Solve for x
    x = 136,467,567.15/11,564.80
  6. Step 6: Final answer
    x = 11,800.25

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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.