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Finding the Fourth Proportional to 5,513.07, 7,608 and 3,155.25

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Solution

The fourth proportional to 5,513.07, 7,608 and 3,155.25 is: 4,354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,513.07 : 7,608 = 3,155.25 : x
  2. Step 2: Convert to fraction form
    5,513.07/7,608 = 3,155.25/x
  3. Step 3: Cross multiply
    5,513.07x = 7,608 × 3,155.25
  4. Step 4: Simplify right side
    5,513.07x = 24,005,142
  5. Step 5: Solve for x
    x = 24,005,142/5,513.07
  6. Step 6: Final answer
    x = 4,354.22

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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.