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Finding the Fourth Proportional to 7,624.95, 11,436.26 and 2,078.75

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Solution

The fourth proportional to 7,624.95, 11,436.26 and 2,078.75 is: 3,117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.95 : 11,436.26 = 2,078.75 : x
  2. Step 2: Convert to fraction form
    7,624.95/11,436.26 = 2,078.75/x
  3. Step 3: Cross multiply
    7,624.95x = 11,436.26 × 2,078.75
  4. Step 4: Simplify right side
    7,624.95x = 23,773,073.49
  5. Step 5: Solve for x
    x = 23,773,073.49/7,624.95
  6. Step 6: Final answer
    x = 3,117.80

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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.