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Finding the Fourth Proportional to 2,385, 3,291.48 and 1,453.68

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Solution

The fourth proportional to 2,385, 3,291.48 and 1,453.68 is: 2,006.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385 : 3,291.48 = 1,453.68 : x
  2. Step 2: Convert to fraction form
    2,385/3,291.48 = 1,453.68/x
  3. Step 3: Cross multiply
    2,385x = 3,291.48 × 1,453.68
  4. Step 4: Simplify right side
    2,385x = 4,784,758.65
  5. Step 5: Solve for x
    x = 4,784,758.65/2,385
  6. Step 6: Final answer
    x = 2,006.19

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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.