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Finding the Fourth Proportional to 1,672.92, 2,309.46 and 1,299.06

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Solution

The fourth proportional to 1,672.92, 2,309.46 and 1,299.06 is: 1,793.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.92 : 2,309.46 = 1,299.06 : x
  2. Step 2: Convert to fraction form
    1,672.92/2,309.46 = 1,299.06/x
  3. Step 3: Cross multiply
    1,672.92x = 2,309.46 × 1,299.06
  4. Step 4: Simplify right side
    1,672.92x = 3,000,127.11
  5. Step 5: Solve for x
    x = 3,000,127.11/1,672.92
  6. Step 6: Final answer
    x = 1,793.35

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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.