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Finding the Fourth Proportional to 7,805.36, 11,712 and 3,422.84

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Solution

The fourth proportional to 7,805.36, 11,712 and 3,422.84 is: 5,136.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.36 : 11,712 = 3,422.84 : x
  2. Step 2: Convert to fraction form
    7,805.36/11,712 = 3,422.84/x
  3. Step 3: Cross multiply
    7,805.36x = 11,712 × 3,422.84
  4. Step 4: Simplify right side
    7,805.36x = 40,088,302.08
  5. Step 5: Solve for x
    x = 40,088,302.08/7,805.36
  6. Step 6: Final answer
    x = 5,136.00

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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.