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Finding the Fourth Proportional to 8,679.84, 11,978.73 and 5,142.30

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Solution

The fourth proportional to 8,679.84, 11,978.73 and 5,142.30 is: 7,096.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,679.84 : 11,978.73 = 5,142.30 : x
  2. Step 2: Convert to fraction form
    8,679.84/11,978.73 = 5,142.30/x
  3. Step 3: Cross multiply
    8,679.84x = 11,978.73 × 5,142.30
  4. Step 4: Simplify right side
    8,679.84x = 61,598,223.28
  5. Step 5: Solve for x
    x = 61,598,223.28/8,679.84
  6. Step 6: Final answer
    x = 7,096.70

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1.5x scale

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.