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Finding the Fourth Proportional to 9,300.80, 12,801.72 and 8,414.72

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Solution

The fourth proportional to 9,300.80, 12,801.72 and 8,414.72 is: 11,582.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.80 : 12,801.72 = 8,414.72 : x
  2. Step 2: Convert to fraction form
    9,300.80/12,801.72 = 8,414.72/x
  3. Step 3: Cross multiply
    9,300.80x = 12,801.72 × 8,414.72
  4. Step 4: Simplify right side
    9,300.80x = 107,722,889.32
  5. Step 5: Solve for x
    x = 107,722,889.32/9,300.80
  6. Step 6: Final answer
    x = 11,582.11

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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.