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Finding the Fourth Proportional to 8,649.76, 12,978 and 3,459.28

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Solution

The fourth proportional to 8,649.76, 12,978 and 3,459.28 is: 5,190.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.76 : 12,978 = 3,459.28 : x
  2. Step 2: Convert to fraction form
    8,649.76/12,978 = 3,459.28/x
  3. Step 3: Cross multiply
    8,649.76x = 12,978 × 3,459.28
  4. Step 4: Simplify right side
    8,649.76x = 44,894,535.84
  5. Step 5: Solve for x
    x = 44,894,535.84/8,649.76
  6. Step 6: Final answer
    x = 5,190.26

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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.