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Finding the Fourth Proportional to 6,509.76, 8,983.62 and 3,678.05

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Solution

The fourth proportional to 6,509.76, 8,983.62 and 3,678.05 is: 5,075.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.76 : 8,983.62 = 3,678.05 : x
  2. Step 2: Convert to fraction form
    6,509.76/8,983.62 = 3,678.05/x
  3. Step 3: Cross multiply
    6,509.76x = 8,983.62 × 3,678.05
  4. Step 4: Simplify right side
    6,509.76x = 33,042,203.54
  5. Step 5: Solve for x
    x = 33,042,203.54/6,509.76
  6. Step 6: Final answer
    x = 5,075.79

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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.