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Finding the Fourth Proportional to 7,797.84, 11,690.13 and 3,412.02

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Solution

The fourth proportional to 7,797.84, 11,690.13 and 3,412.02 is: 5,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.84 : 11,690.13 = 3,412.02 : x
  2. Step 2: Convert to fraction form
    7,797.84/11,690.13 = 3,412.02/x
  3. Step 3: Cross multiply
    7,797.84x = 11,690.13 × 3,412.02
  4. Step 4: Simplify right side
    7,797.84x = 39,886,957.36
  5. Step 5: Solve for x
    x = 39,886,957.36/7,797.84
  6. Step 6: Final answer
    x = 5,115.13

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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.