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Finding the Fourth Proportional to 2,792.48, 4,189.12 and 844.48

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Solution

The fourth proportional to 2,792.48, 4,189.12 and 844.48 is: 1,266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.48 : 4,189.12 = 844.48 : x
  2. Step 2: Convert to fraction form
    2,792.48/4,189.12 = 844.48/x
  3. Step 3: Cross multiply
    2,792.48x = 4,189.12 × 844.48
  4. Step 4: Simplify right side
    2,792.48x = 3,537,628.06
  5. Step 5: Solve for x
    x = 3,537,628.06/2,792.48
  6. Step 6: Final answer
    x = 1,266.84

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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.