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Finding the Fourth Proportional to 2,681.42, 4,021.94 and 832.49

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Solution

The fourth proportional to 2,681.42, 4,021.94 and 832.49 is: 1,248.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.42 : 4,021.94 = 832.49 : x
  2. Step 2: Convert to fraction form
    2,681.42/4,021.94 = 832.49/x
  3. Step 3: Cross multiply
    2,681.42x = 4,021.94 × 832.49
  4. Step 4: Simplify right side
    2,681.42x = 3,348,224.83
  5. Step 5: Solve for x
    x = 3,348,224.83/2,681.42
  6. Step 6: Final answer
    x = 1,248.68

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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.