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Finding the Fourth Proportional to 7,999.84, 11,042 and 6,409

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Solution

The fourth proportional to 7,999.84, 11,042 and 6,409 is: 8,846.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,999.84 : 11,042 = 6,409 : x
  2. Step 2: Convert to fraction form
    7,999.84/11,042 = 6,409/x
  3. Step 3: Cross multiply
    7,999.84x = 11,042 × 6,409
  4. Step 4: Simplify right side
    7,999.84x = 70,768,178
  5. Step 5: Solve for x
    x = 70,768,178/7,999.84
  6. Step 6: Final answer
    x = 8,846.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.