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Finding the Fourth Proportional to 9,208.77, 13,818.83 and 7,323.50

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Solution

The fourth proportional to 9,208.77, 13,818.83 and 7,323.50 is: 10,989.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.77 : 13,818.83 = 7,323.50 : x
  2. Step 2: Convert to fraction form
    9,208.77/13,818.83 = 7,323.50/x
  3. Step 3: Cross multiply
    9,208.77x = 13,818.83 × 7,323.50
  4. Step 4: Simplify right side
    9,208.77x = 101,202,095.79
  5. Step 5: Solve for x
    x = 101,202,095.79/9,208.77
  6. Step 6: Final answer
    x = 10,989.75

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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.