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Finding the Fourth Proportional to 8,564.39, 11,821.10 and 5,209.50

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Solution

The fourth proportional to 8,564.39, 11,821.10 and 5,209.50 is: 7,190.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.39 : 11,821.10 = 5,209.50 : x
  2. Step 2: Convert to fraction form
    8,564.39/11,821.10 = 5,209.50/x
  3. Step 3: Cross multiply
    8,564.39x = 11,821.10 × 5,209.50
  4. Step 4: Simplify right side
    8,564.39x = 61,582,020.45
  5. Step 5: Solve for x
    x = 61,582,020.45/8,564.39
  6. Step 6: Final answer
    x = 7,190.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.