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Finding the Fourth Proportional to 1,676.40, 2,510.76 and 1,639.92

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Solution

The fourth proportional to 1,676.40, 2,510.76 and 1,639.92 is: 2,456.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.40 : 2,510.76 = 1,639.92 : x
  2. Step 2: Convert to fraction form
    1,676.40/2,510.76 = 1,639.92/x
  3. Step 3: Cross multiply
    1,676.40x = 2,510.76 × 1,639.92
  4. Step 4: Simplify right side
    1,676.40x = 4,117,445.54
  5. Step 5: Solve for x
    x = 4,117,445.54/1,676.40
  6. Step 6: Final answer
    x = 2,456.12

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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.