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Finding the Fourth Proportional to 6,509.77, 8,978.62 and 4,241.61

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Solution

The fourth proportional to 6,509.77, 8,978.62 and 4,241.61 is: 5,850.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.77 : 8,978.62 = 4,241.61 : x
  2. Step 2: Convert to fraction form
    6,509.77/8,978.62 = 4,241.61/x
  3. Step 3: Cross multiply
    6,509.77x = 8,978.62 × 4,241.61
  4. Step 4: Simplify right side
    6,509.77x = 38,083,804.38
  5. Step 5: Solve for x
    x = 38,083,804.38/6,509.77
  6. Step 6: Final answer
    x = 5,850.25

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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.