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Finding the Fourth Proportional to 1,673.70, 2,516.10 and 1,665.60

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Solution

The fourth proportional to 1,673.70, 2,516.10 and 1,665.60 is: 2,503.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.70 : 2,516.10 = 1,665.60 : x
  2. Step 2: Convert to fraction form
    1,673.70/2,516.10 = 1,665.60/x
  3. Step 3: Cross multiply
    1,673.70x = 2,516.10 × 1,665.60
  4. Step 4: Simplify right side
    1,673.70x = 4,190,816.16
  5. Step 5: Solve for x
    x = 4,190,816.16/1,673.70
  6. Step 6: Final answer
    x = 2,503.92

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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.