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Finding the Fourth Proportional to 4,608, 6,356.85 and 3,116.44

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Solution

The fourth proportional to 4,608, 6,356.85 and 3,116.44 is: 4,299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608 : 6,356.85 = 3,116.44 : x
  2. Step 2: Convert to fraction form
    4,608/6,356.85 = 3,116.44/x
  3. Step 3: Cross multiply
    4,608x = 6,356.85 × 3,116.44
  4. Step 4: Simplify right side
    4,608x = 19,810,741.61
  5. Step 5: Solve for x
    x = 19,810,741.61/4,608
  6. Step 6: Final answer
    x = 4,299.21

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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.