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Finding the Fourth Proportional to 7,660.16, 11,494.16 and 3,281.28

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Solution

The fourth proportional to 7,660.16, 11,494.16 and 3,281.28 is: 4,923.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.16 : 11,494.16 = 3,281.28 : x
  2. Step 2: Convert to fraction form
    7,660.16/11,494.16 = 3,281.28/x
  3. Step 3: Cross multiply
    7,660.16x = 11,494.16 × 3,281.28
  4. Step 4: Simplify right side
    7,660.16x = 37,715,557.32
  5. Step 5: Solve for x
    x = 37,715,557.32/7,660.16
  6. Step 6: Final answer
    x = 4,923.60

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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.