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Finding the Fourth Proportional to 9,180.64, 12,648.48 and 6,901.84

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Solution

The fourth proportional to 9,180.64, 12,648.48 and 6,901.84 is: 9,508.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.64 : 12,648.48 = 6,901.84 : x
  2. Step 2: Convert to fraction form
    9,180.64/12,648.48 = 6,901.84/x
  3. Step 3: Cross multiply
    9,180.64x = 12,648.48 × 6,901.84
  4. Step 4: Simplify right side
    9,180.64x = 87,297,785.20
  5. Step 5: Solve for x
    x = 87,297,785.20/9,180.64
  6. Step 6: Final answer
    x = 9,508.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.