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Finding the Fourth Proportional to 2,449.34, 3,673.85 and 783.42

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Solution

The fourth proportional to 2,449.34, 3,673.85 and 783.42 is: 1,175.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.34 : 3,673.85 = 783.42 : x
  2. Step 2: Convert to fraction form
    2,449.34/3,673.85 = 783.42/x
  3. Step 3: Cross multiply
    2,449.34x = 3,673.85 × 783.42
  4. Step 4: Simplify right side
    2,449.34x = 2,878,163.65
  5. Step 5: Solve for x
    x = 2,878,163.65/2,449.34
  6. Step 6: Final answer
    x = 1,175.08

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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.