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Finding the Fourth Proportional to 2,140.99, 3,209.93 and 1,445.94

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Solution

The fourth proportional to 2,140.99, 3,209.93 and 1,445.94 is: 2,167.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.99 : 3,209.93 = 1,445.94 : x
  2. Step 2: Convert to fraction form
    2,140.99/3,209.93 = 1,445.94/x
  3. Step 3: Cross multiply
    2,140.99x = 3,209.93 × 1,445.94
  4. Step 4: Simplify right side
    2,140.99x = 4,641,366.18
  5. Step 5: Solve for x
    x = 4,641,366.18/2,140.99
  6. Step 6: Final answer
    x = 2,167.86

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Why These Related Problems?

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