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Finding the Fourth Proportional to 1,624.95, 2,436.81 and 1,282.32

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Solution

The fourth proportional to 1,624.95, 2,436.81 and 1,282.32 is: 1,922.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.95 : 2,436.81 = 1,282.32 : x
  2. Step 2: Convert to fraction form
    1,624.95/2,436.81 = 1,282.32/x
  3. Step 3: Cross multiply
    1,624.95x = 2,436.81 × 1,282.32
  4. Step 4: Simplify right side
    1,624.95x = 3,124,765.39
  5. Step 5: Solve for x
    x = 3,124,765.39/1,624.95
  6. Step 6: Final answer
    x = 1,922.99

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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.