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Finding the Fourth Proportional to 7,442.64, 11,164.26 and 3,281.70

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Solution

The fourth proportional to 7,442.64, 11,164.26 and 3,281.70 is: 4,922.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.64 : 11,164.26 = 3,281.70 : x
  2. Step 2: Convert to fraction form
    7,442.64/11,164.26 = 3,281.70/x
  3. Step 3: Cross multiply
    7,442.64x = 11,164.26 × 3,281.70
  4. Step 4: Simplify right side
    7,442.64x = 36,637,752.04
  5. Step 5: Solve for x
    x = 36,637,752.04/7,442.64
  6. Step 6: Final answer
    x = 4,922.68

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