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Finding the Fourth Proportional to 7,951, 11,922.64 and 2,403.28

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Solution

The fourth proportional to 7,951, 11,922.64 and 2,403.28 is: 3,603.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951 : 11,922.64 = 2,403.28 : x
  2. Step 2: Convert to fraction form
    7,951/11,922.64 = 2,403.28/x
  3. Step 3: Cross multiply
    7,951x = 11,922.64 × 2,403.28
  4. Step 4: Simplify right side
    7,951x = 28,653,442.26
  5. Step 5: Solve for x
    x = 28,653,442.26/7,951
  6. Step 6: Final answer
    x = 3,603.75

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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.