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Finding the Fourth Proportional to 7,685.91, 11,529 and 3,303.45

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Solution

The fourth proportional to 7,685.91, 11,529 and 3,303.45 is: 4,955.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.91 : 11,529 = 3,303.45 : x
  2. Step 2: Convert to fraction form
    7,685.91/11,529 = 3,303.45/x
  3. Step 3: Cross multiply
    7,685.91x = 11,529 × 3,303.45
  4. Step 4: Simplify right side
    7,685.91x = 38,085,475.05
  5. Step 5: Solve for x
    x = 38,085,475.05/7,685.91
  6. Step 6: Final answer
    x = 4,955.23

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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.