Home / 1,884.16-2,825.28-729.60

Finding the Fourth Proportional to 1,884.16, 2,825.28 and 729.60

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Solution

The fourth proportional to 1,884.16, 2,825.28 and 729.60 is: 1,094.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.16 : 2,825.28 = 729.60 : x
  2. Step 2: Convert to fraction form
    1,884.16/2,825.28 = 729.60/x
  3. Step 3: Cross multiply
    1,884.16x = 2,825.28 × 729.60
  4. Step 4: Simplify right side
    1,884.16x = 2,061,324.29
  5. Step 5: Solve for x
    x = 2,061,324.29/1,884.16
  6. Step 6: Final answer
    x = 1,094.03

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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.