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Finding the Fourth Proportional to 2,159.50, 3,240.60 and 1,673.50

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Solution

The fourth proportional to 2,159.50, 3,240.60 and 1,673.50 is: 2,511.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.50 : 3,240.60 = 1,673.50 : x
  2. Step 2: Convert to fraction form
    2,159.50/3,240.60 = 1,673.50/x
  3. Step 3: Cross multiply
    2,159.50x = 3,240.60 × 1,673.50
  4. Step 4: Simplify right side
    2,159.50x = 5,423,144.10
  5. Step 5: Solve for x
    x = 5,423,144.10/2,159.50
  6. Step 6: Final answer
    x = 2,511.30

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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.