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Finding the Fourth Proportional to 1,854.15, 2,781.30 and 813.65

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Solution

The fourth proportional to 1,854.15, 2,781.30 and 813.65 is: 1,220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.15 : 2,781.30 = 813.65 : x
  2. Step 2: Convert to fraction form
    1,854.15/2,781.30 = 813.65/x
  3. Step 3: Cross multiply
    1,854.15x = 2,781.30 × 813.65
  4. Step 4: Simplify right side
    1,854.15x = 2,262,990.84
  5. Step 5: Solve for x
    x = 2,262,990.84/1,854.15
  6. Step 6: Final answer
    x = 1,220.50

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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.