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Finding the Fourth Proportional to 7,809.84, 11,721.24 and 3,133.08

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Solution

The fourth proportional to 7,809.84, 11,721.24 and 3,133.08 is: 4,702.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.84 : 11,721.24 = 3,133.08 : x
  2. Step 2: Convert to fraction form
    7,809.84/11,721.24 = 3,133.08/x
  3. Step 3: Cross multiply
    7,809.84x = 11,721.24 × 3,133.08
  4. Step 4: Simplify right side
    7,809.84x = 36,723,582.62
  5. Step 5: Solve for x
    x = 36,723,582.62/7,809.84
  6. Step 6: Final answer
    x = 4,702.22

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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.