Home / 1,631.40-2,442.78-850.02

Finding the Fourth Proportional to 1,631.40, 2,442.78 and 850.02

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Solution

The fourth proportional to 1,631.40, 2,442.78 and 850.02 is: 1,272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.40 : 2,442.78 = 850.02 : x
  2. Step 2: Convert to fraction form
    1,631.40/2,442.78 = 850.02/x
  3. Step 3: Cross multiply
    1,631.40x = 2,442.78 × 850.02
  4. Step 4: Simplify right side
    1,631.40x = 2,076,411.86
  5. Step 5: Solve for x
    x = 2,076,411.86/1,631.40
  6. Step 6: Final answer
    x = 1,272.78

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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.