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Finding the Fourth Proportional to 7,815.52, 11,728.89 and 3,072.40

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Solution

The fourth proportional to 7,815.52, 11,728.89 and 3,072.40 is: 4,610.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815.52 : 11,728.89 = 3,072.40 : x
  2. Step 2: Convert to fraction form
    7,815.52/11,728.89 = 3,072.40/x
  3. Step 3: Cross multiply
    7,815.52x = 11,728.89 × 3,072.40
  4. Step 4: Simplify right side
    7,815.52x = 36,035,841.64
  5. Step 5: Solve for x
    x = 36,035,841.64/7,815.52
  6. Step 6: Final answer
    x = 4,610.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.