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Finding the Fourth Proportional to 9,218.81, 13,832.28 and 4,835.21

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Solution

The fourth proportional to 9,218.81, 13,832.28 and 4,835.21 is: 7,254.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218.81 : 13,832.28 = 4,835.21 : x
  2. Step 2: Convert to fraction form
    9,218.81/13,832.28 = 4,835.21/x
  3. Step 3: Cross multiply
    9,218.81x = 13,832.28 × 4,835.21
  4. Step 4: Simplify right side
    9,218.81x = 66,881,978.58
  5. Step 5: Solve for x
    x = 66,881,978.58/9,218.81
  6. Step 6: Final answer
    x = 7,254.95

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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.