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Finding the Fourth Proportional to 2,456.90, 3,685.80 and 813.51

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Solution

The fourth proportional to 2,456.90, 3,685.80 and 813.51 is: 1,220.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.90 : 3,685.80 = 813.51 : x
  2. Step 2: Convert to fraction form
    2,456.90/3,685.80 = 813.51/x
  3. Step 3: Cross multiply
    2,456.90x = 3,685.80 × 813.51
  4. Step 4: Simplify right side
    2,456.90x = 2,998,435.16
  5. Step 5: Solve for x
    x = 2,998,435.16/2,456.90
  6. Step 6: Final answer
    x = 1,220.42

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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.