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Finding the Fourth Proportional to 6,578, 9,077.64 and 3,634

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Solution

The fourth proportional to 6,578, 9,077.64 and 3,634 is: 5,014.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578 : 9,077.64 = 3,634 : x
  2. Step 2: Convert to fraction form
    6,578/9,077.64 = 3,634/x
  3. Step 3: Cross multiply
    6,578x = 9,077.64 × 3,634
  4. Step 4: Simplify right side
    6,578x = 32,988,143.76
  5. Step 5: Solve for x
    x = 32,988,143.76/6,578
  6. Step 6: Final answer
    x = 5,014.92

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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.