Home / 2,283.64-3,423.30-986.02

Finding the Fourth Proportional to 2,283.64, 3,423.30 and 986.02

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Solution

The fourth proportional to 2,283.64, 3,423.30 and 986.02 is: 1,478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.64 : 3,423.30 = 986.02 : x
  2. Step 2: Convert to fraction form
    2,283.64/3,423.30 = 986.02/x
  3. Step 3: Cross multiply
    2,283.64x = 3,423.30 × 986.02
  4. Step 4: Simplify right side
    2,283.64x = 3,375,442.27
  5. Step 5: Solve for x
    x = 3,375,442.27/2,283.64
  6. Step 6: Final answer
    x = 1,478.10

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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.