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Finding the Fourth Proportional to 9,406.66, 12,977.80 and 6,578.55

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Solution

The fourth proportional to 9,406.66, 12,977.80 and 6,578.55 is: 9,076.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.66 : 12,977.80 = 6,578.55 : x
  2. Step 2: Convert to fraction form
    9,406.66/12,977.80 = 6,578.55/x
  3. Step 3: Cross multiply
    9,406.66x = 12,977.80 × 6,578.55
  4. Step 4: Simplify right side
    9,406.66x = 85,375,106.19
  5. Step 5: Solve for x
    x = 85,375,106.19/9,406.66
  6. Step 6: Final answer
    x = 9,076.03

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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.