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Finding the Fourth Proportional to 2,456.82, 3,685.68 and 813.06

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Solution

The fourth proportional to 2,456.82, 3,685.68 and 813.06 is: 1,219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.82 : 3,685.68 = 813.06 : x
  2. Step 2: Convert to fraction form
    2,456.82/3,685.68 = 813.06/x
  3. Step 3: Cross multiply
    2,456.82x = 3,685.68 × 813.06
  4. Step 4: Simplify right side
    2,456.82x = 2,996,678.98
  5. Step 5: Solve for x
    x = 2,996,678.98/2,456.82
  6. Step 6: Final answer
    x = 1,219.74

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1.5x scale

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.