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Finding the Fourth Proportional to 9,255.12, 13,859.64 and 5,347.68

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Solution

The fourth proportional to 9,255.12, 13,859.64 and 5,347.68 is: 8,008.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,255.12 : 13,859.64 = 5,347.68 : x
  2. Step 2: Convert to fraction form
    9,255.12/13,859.64 = 5,347.68/x
  3. Step 3: Cross multiply
    9,255.12x = 13,859.64 × 5,347.68
  4. Step 4: Simplify right side
    9,255.12x = 74,116,919.64
  5. Step 5: Solve for x
    x = 74,116,919.64/9,255.12
  6. Step 6: Final answer
    x = 8,008.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.