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Finding the Fourth Proportional to 8,281, 11,427.78 and 4,969

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Solution

The fourth proportional to 8,281, 11,427.78 and 4,969 is: 6,857.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281 : 11,427.78 = 4,969 : x
  2. Step 2: Convert to fraction form
    8,281/11,427.78 = 4,969/x
  3. Step 3: Cross multiply
    8,281x = 11,427.78 × 4,969
  4. Step 4: Simplify right side
    8,281x = 56,784,638.82
  5. Step 5: Solve for x
    x = 56,784,638.82/8,281
  6. Step 6: Final answer
    x = 6,857.22

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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.