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Finding the Fourth Proportional to 5,495.97, 7,584.40 and 2,978.07

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Solution

The fourth proportional to 5,495.97, 7,584.40 and 2,978.07 is: 4,109.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,495.97 : 7,584.40 = 2,978.07 : x
  2. Step 2: Convert to fraction form
    5,495.97/7,584.40 = 2,978.07/x
  3. Step 3: Cross multiply
    5,495.97x = 7,584.40 × 2,978.07
  4. Step 4: Simplify right side
    5,495.97x = 22,586,874.11
  5. Step 5: Solve for x
    x = 22,586,874.11/5,495.97
  6. Step 6: Final answer
    x = 4,109.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.