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Finding the Fourth Proportional to 1,624.75, 2,240.12 and 1,355.95

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Solution

The fourth proportional to 1,624.75, 2,240.12 and 1,355.95 is: 1,869.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.75 : 2,240.12 = 1,355.95 : x
  2. Step 2: Convert to fraction form
    1,624.75/2,240.12 = 1,355.95/x
  3. Step 3: Cross multiply
    1,624.75x = 2,240.12 × 1,355.95
  4. Step 4: Simplify right side
    1,624.75x = 3,037,489.28
  5. Step 5: Solve for x
    x = 3,037,489.28/1,624.75
  6. Step 6: Final answer
    x = 1,869.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.