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Finding the Fourth Proportional to 9,288, 13,932.64 and 3,046.36

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Solution

The fourth proportional to 9,288, 13,932.64 and 3,046.36 is: 4,569.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288 : 13,932.64 = 3,046.36 : x
  2. Step 2: Convert to fraction form
    9,288/13,932.64 = 3,046.36/x
  3. Step 3: Cross multiply
    9,288x = 13,932.64 × 3,046.36
  4. Step 4: Simplify right side
    9,288x = 42,443,837.19
  5. Step 5: Solve for x
    x = 42,443,837.19/9,288
  6. Step 6: Final answer
    x = 4,569.75

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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.