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Finding the Fourth Proportional to 5,155.35, 7,736.00 and 3,080.40

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Solution

The fourth proportional to 5,155.35, 7,736.00 and 3,080.40 is: 4,622.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.35 : 7,736.00 = 3,080.40 : x
  2. Step 2: Convert to fraction form
    5,155.35/7,736.00 = 3,080.40/x
  3. Step 3: Cross multiply
    5,155.35x = 7,736.00 × 3,080.40
  4. Step 4: Simplify right side
    5,155.35x = 23,829,959.00
  5. Step 5: Solve for x
    x = 23,829,959.00/5,155.35
  6. Step 6: Final answer
    x = 4,622.37

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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.